Solve x2 + 12x = -11 by completing the square. Which is the solution set of the equation?
{-11, -1}, {-11, 1}, {11, -1}, {11, 1}

Solution:

Given, the equation is x² + 12x = -11

We can rewrite the equation as x² + 12x + 11 = 0

Now find the factors of the equation after completing the square.

x² + 12x + 11 = 0

We know that 12/2 = 6 where 6² = 36

By adding it on both sides

x² + 12x + 36 = -11 + 36

(x + 6)² = 25

Taking square root on both sides

x + 6 = ±5

Here

x + 6 = 5

x = 5 - 6

x = -1

And

x + 6 = -5

x = -6 - 5

x = -11

Therefore, the solution set of the equation is (-1, -11).

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Solve x² + 12x = -11 by completing the square. Which is the solution set of the equation?

Summary:

Solving x² + 12x = -11 by completing the square, the solution set of the equation is (-1, -11).