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3 years ago

X^2+6x-16=0 quadratic equation

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

4 0

（x+2）（x-8）is the answer

Aleonysh [2.5K]3 years ago

3 0

Answer:

x = - 8, x = 2 are the solutions

Step-by-step explanation:

Given

x² + 6x - 16 = 0

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)

The factors are + 8 and - 2 , since

8 × - 2 = - 16 and 8 - 2 = + 6 , thus

(x + 8)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 2 = 0 ⇒ x = 2

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