Question

What is the solution for x^2 +14x +15​

Answer 1

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Answer 2

Step-by-step explanation:

the solution are

x = 1 or x = -15

x^2 + 14x - 15 =0

x^2 + 14x = 15

to write the left hand side as a perfect square we add 49 to both sides :

x^2 + 14x + 49 = 15 + 49

x^2 + 2.x.7 + 7^2 = 64

using the identity (a^2 + b^2) = a^2 + 2ab + b^2

(x + 7)^2 = 64

x + 7 = √64 or x + 7 = -√64

x = 8 - 7 or x = - 8 - 7

= 1 = - 15