Question

If sum of the squares of zeroes of the quadratic polynomial f(x) x² - 4x + k is 20, then find the value of K.

Answer 1

Answer:

let a and b are zeroes of polynomial.

a^2+b^2=20 (GIVEN)

a+b=4

ab=k

a^2+b^2=20

(a+b)^2-2ab=20

4^2-2k=20

-2k=20-16

-2k=4

k=-2

is required ans.