Which of the following is the solution set of x² + 8x + 12 = 0?
{2, 6}, {-2, -6}, {2, -6}, {-2, 6}

Solution:

The standard form of a quadratic equation is ax² + bx + c = 0

The given equation is x² + 8x + 12 = 0

By comparing both

a = 1, b = 8, c = 12

Let us split the middle term

x² + 2x + 6x + 12 = 0

Taking out the common terms

x(x + 2) + 6(x + 2) = 0

(x + 2)(x + 6) = 0

So we get

x = -2 or x = -6

Therefore, the solution set is {-2, -6}.

Which of the following is the solution set of x² + 8x + 12 = 0?

Summary:

The solution set of x² + 8x + 12 = 0 is {-2, -6}.