SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0. Solution: 5, only solution I am c

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0. Solution: 5, only solution I am c      Log On


   

Question 130877: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0.
Solution: 5, only solution
I am confused with trying to back into the equation from the solution.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If the quadratic equation has only one solution, then it must have a "double root"
Since the solution is x = 5, then the roots must be:
x-5=+0 and x-5+=+0
So, to find the equation having these roots, simply multiply the two roots using FOIL.
%28x-5%29%28x-5%29+=+0
x%5E2-5x-5x%2B25+=+0 Simplify:
x%5E2-10x%2B25+=+0