Question

Math problem plz solve asap

Answer 1

Simplify √-y to √yi

3+ 2y = √yi

Square bot sides

(3 + 2y)^2 = -y

Expand

9 + 12y + 4y^2 = -y

Move all terms to one side

9 + 12y + 4y^2 + y = 0

Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2

9 + 13y + 4y^2 = 0

Split the second term in 9 + 13y + 4y^2 into two terms

4y^2 + 9y + 4y + 9 = 0

Factor out common terms in the first two terms, then in the last two terms

y(4y + 9) + (4y + 9) = 0

Factor out the common term 4y + 9

(4y + 9)(y + 1) = 0

Solve for y

y = -9/4, -1

Check solution

when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.

Therefore,

y = -1