Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4, what is the constant on the right side of the equation?

Respuesta :

we have that
2x² + 8x - 12 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation
(2x² + 8x)=12 

Factor the leading coefficient 

2*(x² + 4x)=12 -------> divide by 2-----> (x² + 4x)=6

Complete the square. Remember to balance the equation by adding the same constants to each side

(x² + 4x+4)=6+4

(x+2)²=10

the constant on the right side of the equation is 10