What are the solutions to x 2 + 4x - 12 = 0?

x = -2 or x = 6
x = 3 or x = -4
x = 2 or x = -6
x = 4 or x = -3

Start by breaking the polynomial into two binomials:

x^2 + 4x - 12 = 0 
(x+6)(x-2)=0

Now set each binomial equal to zero:

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

So your answers are x=2 and x= -6

x = 2 or x = -6

Step-by-step explanation:

Here the given equation is,

By middle term spitting,

By Zero product property,

Which is the solution of the given equation.

Third option is correct.

The side x is the hypotenuse of the triangle.

And we know that the leg that is labeled with a line is also 6.

Use the Pythagorean theorem and solve for x.

a² + b² = x²
3² + 6² = x²
9 + 36 = x²
45 = x²
√45 = x
√9×5 = x
√9√5 = x
3√5 = x

The answer is 3√5

Hope this helps :)