Question

Find the quadratic equation whose roots are 5 and -5

Answer 1

Hey!!!

Let S be the sum of the zeros/roots and P be the product of the roots.

Thus S = 5 -5

=> S = 0

Thus P = 5(-5)

=> P = -25

Thus Required Quadratic Equation

=> k(x² - Sx + P)

=> k(x² - 0x - 25)

Thus Answer = x² - 25

Hope this helps

Answer 2

S = 5 -5

= S = 0

P = 5(-5)

= P = -25

= k(x² - Sx + P)

= k(x² - 0x - 25)

= x² - 25

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