Question

If sum of the squares of
zeroes of the quadratic polynomial
P(x) = x² - 8x+ k is 40, the value
of k is:​

Answer 1

Answer:

Let a and b be the roots of the polynomial

Step-by-step explanation:

Since the sum of roots=a+b=8

And products of roots=k (Both using the property of roots of polynomial)

WE again have $a^{2} +b^{2}$ = 0 (Given)

Using (a+b) whole square= a square + b square +2ab

we have;

64=0+2k

hence k=32