Completing the square is another way of finding the solution to quadratic functions. The solution to the system of equation is y = ±√5/2 - 3/2
How to solve quadratic expression using the completing the square method?
Given the quadratic equation
y^2 + 3y = -1
Add the square of half of the coefficient of y on both sides to have:
y^+3y + (3/2)^2 = -1 + 9/4
(y^2 + 3y + 9/4) = 5/4
Simplify the result to have:
(y+3/2)^2 = 5/4
Take the square root of both sides
y + 3/2 = ±√5/2
y = ±√5/2 - 3/2
Hence the solution to the system of equation is y = ±√5/2 - 3/2
Learn more about completing the square here: https://brainly.com/question/1596209
