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(x+12)^2=1 solve quadratic equation

User Ggariepy
by
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1 Answer

1 vote

Expanding the left side of the equation, we get:

x^2 + 24x + 144 = 1

Subtracting 1 from both sides, we get:

x^2 + 24x + 143 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 24, and c = 143.

Plugging in these values, we get:

x = (-24 ± sqrt(24^2 - 4(1)(143))) / 2(1)

x = (-24 ± sqrt(576 - 572)) / 2

x = (-24 ± sqrt(4)) / 2

x = (-24 ± 2) / 2

x = -12 ± 1

So the solutions to the quadratic equation are:

x = -11 or x = -13.

User Merrick
by
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