Question

If the sum of squares of zeros of the polynomial x2
– 8x + k is 40, find the value of k.

Answer 1

Step-by-step explanation:

This is the answer

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Answer 2

Let a,b be the zeros of the polynomial.Then,

a+b=8 and ab=k

Given,

$\bold{ {a}^{2} + {b}^{2} } = 40$

$\bold{(a + b) {}^{2} - 2ab = 40}$

64−2k=40

2k=24

k=12