Question

If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial


x-5


(x+5)(x-5)


x2-5


x2-25​

Answer 1

Given,

$\alpha = - \sqrt{5} \: \: \: and \: \: \: \beta = \sqrt{5}$

So,

Quadratic polynomial form=

$= {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - ( - \sqrt{5} + \sqrt{5})x + ( - \sqrt{5} ) \times \sqrt{5} \\ = {x}^{2} - 0x - 5 = {x - 5}^{2}$

hope it will help u ✨☺️

Answer 2

Answer:

answer is x^2 -25

I hope helpful for you.