SOLUTION: y = {{{ sqrt x }}} + 4 y = 2x+1

Question 188798: y = + 4
y = 2x+1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Plug in

Subtract 4 from both sides.

Combine like terms.

Square both sides

FOIL

Subtract x from both sides.

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

Subtract from 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 for "x" are or

However, if you plug in into the equation , you'll find a contradiction. So this is an extraneous solution (ie we must ignore this value).

So the only solution for "x" is

Now plug in into to find "y"

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