Question

the sum of the squares of zeroes of the q uad ratio polynomial f(x) = x2 - bx + k is 40 then value of !c is

Answer 1

Hi Mate!!

Let the zeros be a and b

a² + b² = 40 ..... it's given.

{ a² + b² = ( a + b )² - 2ab }

a + b = b

ab = k

=> 40 = b² - 2k

=>. b² = 40 + 2k