SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the standard form, ax^2+bx+c=0 Solutions are negative sign (Sqrt) 10, 5 (s

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 the standard form, ax^2+bx+c=0 Solutions are negative sign (Sqrt) 10, 5 (s      Log On


   

Question 536912: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the standard form, ax^2+bx+c=0
Solutions are negative sign (Sqrt) 10, 5 (sqrt) 10. so it would be 5 space square root sign and negative sign space square root sign). I am totally lost on this one. I have no idea how to even begin....
Found 2 solutions by richard1234, mananth:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Use the fact that if r is a root of a polynomial, then x-r is a factor of the polynomial. Hence, the polynomial would look something like

where a is some constant. Fix a value for the variable a (e.g. assume a = 1) then multiply.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The solutions are -sqrt%2810%295%2Asqrt%2810%29
The quadratic will be %28x+%2B+sqrt%2810%29%29%2A%28x-5sqrt%2810%29%29=0
x%28x-5sqrt%2810%29%29%2Bsqrt%2810%29%28x-5sqrt%2810%29%29=0
x%5E2-5xsqrt%2810%29%2Bx%2Asqrt%2810%29-5%2A10=0
x%5E2-4sqrt%2810%29x-50=0
m.ananth@hotmail.ca