Question

If the sum of the squares of the zeroes of the quadratic polynomial p(x) = x² - 8x + k is 34, then find the value of k.​

Answer 1

Step-by-step explanation:

Given=x^2-8x+k=34

take (x^2-8x)=a+b=8.

k=ab

(a+b)^2-2ab=34

64-2k=34

64-34=2k

30=2k

15=k