v +2 = sqrt(-2 v + 11)

Question

In solving the equation, you should have produced an (equivalent) quadratic equation. What are the solutions to the resulting quadratic equation?

 

 

Answer 1

The radical equation

Squaring on each side.

Solve the quadratic equation by using factorization.

Apply zero product property.

Solutions of quadratic equation .

Check :

Substitute v = - 7 in

v = - 7 is not a solution.

Substitute v = 1 in 

Above statement is true.

Solution of radical equation v = 1.