in quadratic equation it must be in standard form, ax^2 + bx + c = 0.
Jenny is five years older than Marian. In three years, the product of her age and Marian's age five years ago will be 90 years. Find their present age.
Solution:
Let x= Marian's present age
x + 5= Jenny's present age
The working
No. Sometimes they are both extraneous.
x2
If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla
Many real life physics problems are parabolic in nature. Parabolas can be shown as a quadratic equation. If you have two variables then usually you can use the equation to find the best solution to a problem. Also, it is a beginning in the world of mathematical optimization. Some equations use more than two variables and require the technique used to solve quadratics to solve them. I just ran an optimization of 128 variables. To understand the parameters I needed to set I had to understand quadratics.
The cheapest monetary way to acquire the answers to the questions in that algebra textbook is to work out them yourself. Textbooks usually provide instructions on how to solve the equations in the problem set and often solve a few example problems as well.
Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
I may only be in 8th grade but I am absolutely positive that all quadratic equations have 2 solutions. No - They may have 0,1, or 2 answers For example, the problem x^2 + 8x +16 = 0 has only one solution -4. This is because the radical evaluates to 0 rendering the +/- sign irrelevant.
No. Sometimes they are both extraneous.
To write a word problem involving a quadratic function, start by identifying a real-world scenario that can be modeled by a quadratic relationship, such as projectile motion or area optimization. Frame the problem by describing the situation, including key variables and relationships, and use specific numbers to make it concrete. To find the solution, set up the quadratic equation based on the problem context, apply techniques like factoring, completing the square, or using the quadratic formula, and interpret the results in the context of the original scenario. Finally, check if the solutions make sense within the problem’s constraints.
Engineers and mathematicians apply the simplifying of all manner of equations every day in the course of their work. Scientists in several fields may be required to do the same in the course of a particular project or problem.
Extraneous solutions turn up in a few different p;aces in algebra. One reason they turn up in logarithmic equations is that you can only have a log of a positive number, but when you solve the equation, one of the answers is negative. Did you ever do a word problem about a rectangle and have to solve a quadratic equation? You probably got 2 answers, and had to reject one of them because the length of a rectangle can't be negative. Same idea: the algebra doesn't understand what the problem is about, it just churns out answers!
To solve word problems involving measurements, first read the problem carefully to understand what is being asked and identify the relevant measurements. Next, convert any units if necessary to ensure consistency, and then create equations or expressions based on the information provided. Finally, solve the equations step by step, and double-check your work to ensure that the solution makes sense in the context of the problem.
If the discriminant - the part under the radical sign in the quadratic formula - is negative, then the result is complex, it is as simple as that. You can't convert a complex number to a real number. If a particular problem requires only real-number solutions, then - if the formula gives complex numbers - you can state that there is no solution.
True
x2
3,4,5,6