Respuesta :
Answer:
x={-5,-6}
Step-by-step explanation:
x²+11x+30=0
x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)
x(x+5)+6(x+5)=0
(x+5)(x+6)=0
so
x+5=0
x+6=0
therefore
x=-5
x=-6
Answer:
x = - 6, x = - 5
Step-by-step explanation:
Given
x² + 11x + 30 = 0
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)
The factors are + 6 and + 5 , since
6 × 5 = 30 and 6 + 5 = 11, then
x² + 11x + 30 = 0
(x + 6)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 5 = 0 ⇒ x = - 5
