Question

If and b are the zeroes of the polynomial x2_6x+k, find the value of k, such that a2+b2=40

Answer 1

sum of zeros= -b/a = 6/1

product of zeros= c/a = k/1

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

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

= 6^2 -2k

Answer 2

Answer: -2

Step-by-step explanation:

Please see the attached explanation