Question

and b are the roots of the equation x2 -kx+16=0 and satisfy a2 +b2 =32 . Then find the value of k.​

Answer 1

Step-by-step explanation:

a + b = k ….(1)

ab = 16 ….(2)

a2 + b2 = (a + b)2 – 2ab = 32

. k2 – 32 = 32 ⇒ k2 = 64

⇒ k = ±8