MATH SOLVE

3 months ago

Q:
# Solve y^2 + 3y = -1Complete the square

Accepted Solution

A:

Completing the square is another way of finding the solution to quadratic functions. The solution to the system of equation is y = ±√5/2 - 3/2How to solve quadratic expression using the completing the square method?Given the quadratic equationy^2 + 3y = -1Add 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) = 5/4Simplify the result to have:(y+3/2)^2 = 5/4Take the square root of both sidesy + 3/2 = ±√5/2

y = ±√5/2 - 3/2Hence the solution to the system of equation is y = ±√5/2 - 3/2Learn more about completing the square here:

(y^2 + 3y + 9/4) = 5/4Simplify the result to have:(y+3/2)^2 = 5/4Take the square root of both sidesy + 3/2 = ±√5/2

y = ±√5/2 - 3/2Hence the solution to the system of equation is y = ±√5/2 - 3/2Learn more about completing the square here: