Question

if sum of the squares of zeros of the quadratic polynomial f ( x )= x square - 8 x + K is 40 find the value of k

Answer 1

given x2 + y2 = 40 (x and y are zeroes of quadratic equation)

we can write (x + y)2 - 2xy = 40 ------------------  1

nw some of zeroes = x + y = -B/A = -(-8)=8

product of zeroes = xy = C/A = k

put value in equation 1

(8)2 - 2k = 40 

64 - 40 = 2k 

2k = 24

k = 12 answer

Answer 2

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