Y+6x=11; x=-2,0,4 solve the equation for y. then find the value of y for each value of x. only for smart people

                 √33

x = -5/2 ±

                     2

Step-by-step explanation:

Through completing the square, we get:

x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or

(x + 5/2)^2 - 25/4 - 2 = 0.

This simplifies to

(x + 5/2)^2 = 33/4

Taking the square root of both sides yields:

x + 5/2 = ±√(33/4), which can be solved explicityl for x:

                 √33

x = -5/2 ±

                     2