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 The equation is

Algebra ->  Rational-functions -> 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 The equation is      Log On


   



Question 617472: 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
The equation is _____=0

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A quadratic equation with solutions p and q can be written as
(x-p)(x-q)=0
If you do the multiplication, you en up with
x%5E2-%28p%2Bq%29x%2Bpq=0

A quadratic equation with just one solution happens when p=q.
Then, you have
(x-p)(x-p)=0 or %28x-p%29%5E2=0 or x%5E2-2px%2Bp%5E2=0

A quadratic equation in the variable x with 5 as its only solution can be written as
%28x-5%29%5E2=0 --> highlight%28x%5E2-10x%2B25=0%29