SOLUTION: write a quadratic equation in the variable x having the given number as solutions. Type the equation in standard form ax^2+bx+c=0. -sqrt 10, and 6sqrt10 the equation is ?=0

Algebra ->  Radicals -> SOLUTION: write a quadratic equation in the variable x having the given number as solutions. Type the equation in standard form ax^2+bx+c=0. -sqrt 10, and 6sqrt10 the equation is ?=0      Log On


   

Question 478238: write a quadratic equation in the variable x having the given number as solutions. Type the equation in standard form ax^2+bx+c=0.
-sqrt 10, and 6sqrt10
the equation is ?=0
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
If x%5B1%5D, x%5B2%5D are solutions of the quadratic equation, then
%28x-x%5B1%5D%29%28x-x%5B2%5D%29=0
x%5B1%5D=-sqrt%2810%29, x%5B2%5D=6sqrt%2810%29
The equation %28x-%28-sqrt%2810%29%29%29%28x-6sqrt%2810%29%29=0
%28x%2Bsqrt%2810%29%29%28x-6sqrt%2810%29%29=0
x%5E2-6x%2Asqrt%2810%29%2Bx%2Asqrt%2810%29-6%28sqrt%2810%29%29%5E2=0
x%5E2-5x%2Asqrt%2810%29-60=0