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What is the difference between a polynomial and a quadratic equation?
Oh, dude, it's like this: all quadratic equations are polynomials, but not all polynomials are quadratic equations. A quadratic equation is a specific type of polynomial that has a degree of 2, meaning it has a highest power of x^2. So, like, all squares are rectangles, but not all rectangles are squares, you know what I mean?
What does each variable represent in standard form?
There are different standard forms for different things. There is a standard form for scientific notation. There is a standard form for the equation of a line, circle, ellipse, hyperbola and so on.
Explain a Quadratic equation and how to solve it?
A quadratic equation is any equation that can be expressed as ax2 + bx + c = 0.Note that the a, b and c are specified, x is the only unknown.Example:x2 - 10x - 24 = 0a, b, c are the coefficients of each term.Now x2 appears not to have a coefficient, but remember x2 is the same thing as 1x2 so the coefficient is 1. So a = 1.The second term has a coefficient of -10 because it has a minus, not plus sign in front of it so b = -10.Likewise for c, the third term. C = -24.So you have your terms.There are two popular ways of solving this.You can factorise the equation, or use the Quadratic Formula.I prefer to use the Quadratic Formula, as it is very straightforward, you just need to practise it.The quadratic formula is x = (-b±√(b2-4ac))/2a
How do you determine the solutions on a graph for a quadratic equation?
The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.
How do you write an algebraic equation for the number of members divide by six is fifteen?
M/6 = 15Multiply each side of the equation by 6 :M = 90
What mathematical principles did you apply to each Quadratic Equation in Standard Form?
The mathematical principles applied to each Quadratic Equation in Standard Form include factorization or factoring, variation(correlation of variables), monomial rules, domain and range.
Always use the vertex and at least points to graph each quadratic equation?
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
How many solutions does a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
What is an application for a quadratic equation in real life?
A quadratic equation could be used to find the optimal ingredients for a mixture. Example: if you are trying to create a super cleanser, you could make a parabola of your ingredients, finding the roots of the equation to find the optimal amount for each ingredient.
What useful reactions do you look for?
give four examples of reactions in nature and write the word equation for each give four examples of reactions in nature and write the word equation for each give four examples of reactions in nature and write the word equation for each
How do you write the equation for each hyperbola in standard form when the equation is y2-3x2 plus 6x plus 6y equals 18?
y2-3x2+6x+6y= 18 is in standard form. The vertex form would be (y+3)2/24 - (x-1)2/8 = 1
What are the 4 methods to solve a quadratic equation?
You can solve a quadratic equation 4 different ways. graphing, which is quick but not reliable, factoring, completing the square and using the quadratic formula. There is a new fifth method, called Diagonal Sum Method, that can quickly and directly give the 2 roots in the form of 2 fractions, without having to factor the equation. It is fast, convenient, and is applicable whenever the equation can be factored. Finally, you can proceed solving in 2 steps any given quadratic equation in standard form. If a=1, solving the equation is much simpler. First, you always solve the equation in standard form by using the Diagonal Sum Method. If it fails to find answer, then you can positively conclude that the equation is not factorable, and consequently, the quadratic formula must be used. In the second step, solve the equation by using the quadratic formula.
How do you do the math narrative?
whatever the equation is write the equation in words then solve each step in a sentence.
What are the steps when formulating an equation?
Read the problem. Write each fact as a variable expression. Write each fact as a sentence.
How do you write each number 613521 in standard form?
It is already in standard form.
How do you solve 4X squared plus 8X minus 20 equals 0?
-- Although not required, you can make it slightly easier on yourselfif you first divide each side of the equation by 4.-- Either way, you're left with a quadratic equation that isn't easilyfactorable by inspection, so you're forced to use the quadratic formulawhich you learned and then forgot.-- The quadratic formula says that when you have the quadratic equation[ Ax2 + Bx + C = 0 ],which is exactly what you have, the two solutions arex = 1/2A [ -B + sqrt(B2-4AC) ]andx = 1/2A [ -B - sqrt(B2-4AC) ].This is the perfect time to use the quadratic formula,and that's exactly how you solve your equation.
