Question

If the sum of square of the zeroes of the quadratic polynomial x square-8x k be 40 find k

Answer 1

let A and B are the zeroes of polynomial.

then
A+B=8k,

A.B=0,

A²+B²=40,
(A+B)²-2A.B=40,

(8k)²-2×0=40,

64k²=40,

k=40/64,

k=5/8