SOLUTION: square root (y-2) - square root (5y+1) = -3 solve for y

Question 348248: square root (y-2) - square root (5y+1) = -3
solve for y
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
*Note: first isolate of the square roots to one side of the equation:

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To solve: SQUARE BOTH SIDES OF THE EQUATION

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combine like terms:

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SQUARE BOTH SIDE OF THIS EQUATION

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Solve with the Quadratic Formula:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=9 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, 2.25. Here's your graph:

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