Asked by Kaden
What is a solution of x2 + 6x = -5?
Answers
Answered by
oobleck
first, rearrange things in the standard form:
x^2 + 6x + 5 = 0
Now, which two factors of 5 add up to 6?
well, 5 is prime, so the only factors are 1,5
(x+1)(x+5) = 0
why do we always set up the list of factors = 0?
because if the product of two number is zero, one or the other of them must be zero! That means we must have either
x+1 = 0
or
x+5 = 0
So, the solutions are x = -1, -5
x^2 + 6x + 5 = 0
Now, which two factors of 5 add up to 6?
well, 5 is prime, so the only factors are 1,5
(x+1)(x+5) = 0
why do we always set up the list of factors = 0?
because if the product of two number is zero, one or the other of them must be zero! That means we must have either
x+1 = 0
or
x+5 = 0
So, the solutions are x = -1, -5
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