SOLUTION: 96.) Find all real or imaginary solutions. use the method of your choice. sqrt(7x+29=x+3)

Question 165061This question is from textbook Elementary and Intermediate
: 96.) Find all real or imaginary solutions. use the method of your choice.
sqrt(7x+29=x+3)
This question is from textbook Elementary and Intermediate

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Square both sides to eliminate the square root.

FOIL the right side.

Get everything to the right side.

Combine like terms

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible answers are or

However, if you plug in back into the original equation, you'll find that the solution does not work. So this means that is NOT a solution.

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Answer:

So the solution is

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