answersLogoWhite

0


Best Answer

Write the quadratic equation in the form

ax2 + bx + c = 0

then the roots (solutions) of the equation are:

[-b ± √(b2 - 4*a*c)]/(2*a)

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How would you go about solving a quadratic equation?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?

In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.


Example of quadartic equation in daily life?

If you want to know how high and object will go when you throw it up, you need a quadratic. lots of examples in any algebra book, just look up quadratic word problems


What 2 numbers times together to make 8 and add together to make -7?

i would say 1 and 8 however you have asked for a -7 so maybe HERE YOU GO -8+1Another Answer:-The numbers are: -5.561552813 and -1.438447187A more accurate calculation can be made by using the quadratic equation formula


What is the equation for finding the nth term of a nonlinear sequence?

There is no set equation for finding the nth term of a non- linear sequence. You have to go through a procedure to find the equation suitable for your given sequence. You would have to post the equation itself or re phrase your question for the answer.


X2-15x plus 56 equals 0 in factored form?

x2-15x+56 = 0 (x-8)(x-7) = 0 Therefore: x = 8 or x = 7 To ensure that your answer is correct multiply out the brackets and you should go back to the original quadratic equation.

Related questions

How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.


What is the first step in solving an equation with a variable?

The first step in solving an equation with a variable is doing the inverse operation. For example:4x + 8=32The first step would be to subtract 8 from 32. Since the operation is addition you would do the inverse which is subtraction. Then you would go on to divide 24 by 4Because 32-8= 24 Then you would get an answer of x=6 This answer is correct because 6 multiplied by 4 is 24


How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?

In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.


Example of quadartic equation in daily life?

If you want to know how high and object will go when you throw it up, you need a quadratic. lots of examples in any algebra book, just look up quadratic word problems


How is quadratic equation used today?

In reality the quadratic equation as many functions in the scientific and mathematical world. The equation is used to find shapes, circles, ellipses, parabolas, and more. The quadratic formula looks a little menacing, however it is not . The quadratic equation is different from the formula and looks like this: and we will be discussing the quadratic equation. The quadratic equation is used to find the curve on a Cartesian grid. It is primarily used to find the curve that objects take when they fly through the air. For example a softball, tennis ball, football, baseball, soccer ball, basketball, etc. It also used to design any object that has curves and any specific curved shape needed for a project. The military uses the quadratic equation when they want to predict where artillery shells hit the earth or target when fired from cannons. So if your goal is to go into the military and work with artillery or tanks, you will be using the quadratic equation on a daily basis. Other uses of the quadratic equation include explaining how planets in our solar system revolve around the sun. Our planets were initially tracked by early scientists, who did not have the advantage of computers, and they used the quadratic equation to determine how planets in our solar system do not have circular orbits - they have elliptical orbits. Newton also based his laws of motion on the quadratic equation by defining the acceleration of objects and forces that act upon them. He based his laws on objects falling and moving, taking into consideration the objects are on a spinning object (earth), which is orbiting the our sun. Newton was not aware of the forces that act on our solar system from the rotation of the Milky Way Galaxy. Do you think this would have mad a difference in his calculations? No the answer would still be the same; however it would have taken him longer to calculate. The quadratic equation is used by car makers to determine how much and what type of brakes are needed to stop a car going at various speeds, while it is still on the drawing boards. This and other design functions which use the quadratic equation are part of the design steps of a new car, truck, motorcycle, and other types of automobiles. When a police officer investigates a car accident scene, he/she uses the quadratic equation in their efforts to determine what velocities the cars when traveling when the collision occurred. Also, who was at fault and why the vehicles were damaged the way they were. These calculations are also used by car designers to develop an even safer care for occupants during future collisions. The quadratic equation is used in the design of almost every product in stores today. The equation is used to determine how safe products are and the life expectancy of products, such as when they can expect to quit working. Designers can then see what needs to be changed in the product to make it last longer. Another area that the quadratic equation is helpful is in the design of sound systems, such as: speakers and electronic circuits for vibrating the speakers. Speakers send out sound waves and these sound waves vibrate or resonate, sometimes causing unwanted cancellations of sound waves. Designers use this equation to redesign the circuits and speakers so sound waves reinforce each other and do not cancel each other out for the best sound quality. The quadratic equation has many practical applications in the world beyond school. You may not think you need to know it now; however the higher paying jobs go to those who can use the quadratic equation to design safe and useful products for people.


How can you insert a quadratic formula in your document on Microsoft word?

To insert a quadratic formula (or any other scientific formula) into a Word document, go toInsert (tab) > Equations (under the Symbols block)From there you can either select the format of the formula you would like to insert if a template is available (there is a template already for quadratic equations) but if there isn't one, can either download on from Office.com OR create your own by clicking Insert New Equation.


What is x in the quadratic equation x2 plus 6x-18?

Sorry, that is not an equation, since you have not told us what those terms equal. An equation would look like this: x2 + 6x -18 = 0 (but it doesn't have to equal zero, that is just an example of what it might be). Until we have an actual equation, we cannot solve for x. Also note: you can go to the site wolframalpha.com and they can solve equations and graph them for you. Very convenient.


How do you solve a quadratic equation on a TI 83?

put the equation into y= and then go to second function (trace/calc) and go to zeros and follow the instructions repeat for other intercept (select slightly to the left of the intercept, then to the right... then hit enter a couple of times... when it asks you to guess, don't bother...) then it will tell you the intercept which is what you are looking for when you solve a quad-equation


X2 plus 9x plus 8?

If you mean x² + 9x +8 = 0 you use the quadratic equation. Go the the Related links for a detailed explanation at Wikipedia.org, "The World's Encyclopedia"


How would you go about solving this direct variation question and what is the answer- If P varies directly as the square of Q and the constant of variation is 6 what is the value of P when Q equals 12?

If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864


Explain why you must do the same operation to both sides of an equation when solving it?

If you don't, then the two sides of the equation are no longer equal. The'equals' sign in it ( = ) is a lie, and the equation isn't a true statement.At that point, there's no such thing as a solution any more, so you mightas well forget about it and go on to the next problem.


If you flip the graph of the quadratic parent function f(x)x2 over the x-axis what is the equation of the new function?

g(x)=x^-2 thanks go like my youtube MATH VIDEOS TO GET HELP