Solve x2 + 14x = −24 by completing the square. what is the solution set of the equation?

In completing the square , we take half of coefficient of middle term x and then square it. Then we add it on both sides of the equation

Here coefficient of middle term x is +14

Half of 14 =

square it , so

Now add 49 on both sides

Take square root on both sides

x + 7 = + - 5

Now make two equations

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

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step-by-step explanation:

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