SOLUTION: Solve the equations. check the solutions. sqrt 2y+7+4=y

Question 100516: Solve the equations. check the solutions.
sqrt 2y+7+4=y
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
sqrt 2y+7+4=y
sqrt(2y)=y-11 subtract ll from each side.
2y=y^2-22y+121 square each side
y^2-24y+121=0 subtract 2y from each side.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=92 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 16.7958315233127, 7.20416847668728. Here's your graph:

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