Question

Quadrato equation
x²+5x+6=0​

Answer 1

x= -2 or -3

Explanation:

First, you find the two factors that can replace +5 to enable you to factorize. To do this, you find the factors of +6 and check the factors that when added would give +5.

The factors are +2 and +3

x²+ 5x+6=0

x²+2x+3x+6=0

x(x+2)+3(x+2)=0

(x+2)(x+3)=0

x+2=0 or x+3=0

x= -2 or x= -3

∴x= -2 or -3

Hope this helps!!!

Answer 2

x = - 3, x = - 2

Explanation:

Given

x² + 5x + 6 = 0

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2, since

3 × 2 = + 6 and 3 + 2 = + 5, thus

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2