Question

Find the zeroes of the 4x^2+12x+9 and also verify the relationship between zeroes and coefficients

Answer 1

Hi ...here Is your answer

Answer 2

Answer:

α= -3/2

β= -3/2

Explanation:

⇒ 4x²+12x+9=0

⇒ 4x²+6x+6x+9=0

⇒ 2x(2x+3)+3(2x+3)

⇒ (2x+3)(2x+3)

∴ 2x+3=0

∴ x=-3/2,-3/2

∴ α+β=-3/2+(-3/2)=-3/2-3/2=-6/2=-3=-b/a

∴ α×β=-3/2(-3/2=9/4=c/a

hence, α+β=-b/a and α×β=c/a