SOLUTION: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ?? please demonstrate so i can learn this.

Question 376338: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ??
please demonstrate so i can learn this.
Found 2 solutions by jim_thompson5910, edjones:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that if p and q are solutions, then or

So in this case, this means that if or are solutions then or

or Start with the given solutions.

or Get everything to the left side.

Use the zero product property

FOIL

Multiply and combine like terms.

So the quadratic expression is

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x=-sqrt(5), x=6sqrt(5)
(x+sqrt(5))(x-6sqrt(5))=0
f(x)=x^2-5sqrt(5)x-30 FOIL
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