Question

Find the Zeroes of the quadratic polynomial f(x)
abx² + (-6² - ac)x - 6c and verify the
relationship between the zeroes and its coefficients.​

Answer 1

Answer:

Given: abx

2

+(b

2

−ac)x−bc=0

Factorizing the given equation,

⟹abx

2

+b

2

x−acx−bc=0

⟹bx(ax+b)−c(ax+b)=0

⟹(bx−c)(ax+b)=0

Solving the above equation for x, we get

⟹(bx−c)=0 or (ax+b)=0

⟹x=

b

c

or x=

a

−b