SOLUTION: I can not figure out how to write a quadriatic equation where the answer is 3 ax^2+bx+c=0 is the formula Thanks Diane

Question 142945: I can not figure out how to write a quadriatic equation where the answer is 3 ax^2+bx+c=0 is the formula
Thanks
Diane
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
When you say that the answer is 3, this means that x = 3 is a solution, and since you have a quadratic equation, there must be two solutions.
So the two solutions are:
x = 3 and x = 3
The solutions of x = 3 mean that the parablola (the curve generated by the quadratic equation when graphed) intersects the x-axis at x = 3.
But, because the two solutions are identical, the parabola does not actually cross the x-axis, it merely touches the x-axis at the point x = 3.
To find the generating equation, take the x = 3 and subtract 3 from both sides to get:
(x-3) = 0 and (x-3) = 0 These are factors of the equation, so you would multiply these factors together to find the generating equation.
This is the generating equation!
RELATED QUESTIONS
I cannot figure out the answer to this problem. ax^2+bx+c=0 the given solution is... (answered by Theo)

This question deals with solving the quadratic equation by using the quadratic formula.... (answered by scott8148)

how do i solve... directions: write a quadratic equation with the given roots. Write the (answered by Alan3354,richard1234)

Use the quadratic formula to solve a quadratic equation ax^2 + bx + c = 0, the... (answered by venugopalramana)

These are difficult to figure out. Can someone please explains these to me? 1.) Write... (answered by Alan3354)

Hello, I need to write an equation with the given roots, write the equation in the form... (answered by richwmiller)

Hey tutor, Can you show me how to do this question step by step: Write a quadratic (answered by Alan3354)

My worksheet syas: Write a quadratic equation with -3/4 and 4 as its roots. Write the... (answered by scott8148)

Hi I am stuck on this one which has me completely bamboozled. Your assistance would be... (answered by solver91311,stanbon)