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x²+19x+84 pls solve this quadratic equation ​

Sagot :

Answer:

x = - 12 , x = - 7

Step-by-step explanation:

To solve the equation , equate to zero

x² + 19x + 84 = 0

Consider the factors of the constant term (+ 84) which sum to give the coefficient of the x- term (+ 19)

The factors are + 12 and + 7 , since

12 × 7 = 84 and 12 + 7 = 19 , then

(x + 12)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x + 7 = 0 ⇒ x = - 7

Answer:

(x+12)(x+7)

Step-by-step explanation:

x^2+12x+7x+84

=x(x+12)+7(x+12)

=(x+12)(x+7)