Question

if polynomial of x=x²-9x-a has 14 and b as its roots then find the value of a & b

Answer 1

\(x^2-9x-a = (x-14)(x-b) = x^2 - 14x - bx + 14b = x^2-(14+b)x + 14b\)
Therefore, 14 + b = 9 and 14b = -a
b = 9 - 14 = -5 and 14(-5) = -a. a = 70

a = 70
b = -5