SOLUTION: (the square root of X+2) = x? How do I solve this? ALSO: (the square root of 2-x) = 2-x How do I solve this?

Question 288676: (the square root of X+2) = x? How do I solve this?
ALSO: (the square root of 2-x) = 2-x How do I solve this?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
Start with the given equation.

Square both sides.

Get everything to one side.

Rearrange the equation.

Factor.

or Use the zero product property.

or Solve for 'x' in each case.

So the possible solutions for are or . However, if you plug into , you'll get which is NOT true. So is NOT a solution.

So the only solution is

==================================================================
# 2

Start with the given equation.

Square both sides.

FOIL

Get everything to one side.

Combine like terms.

Factor.

or Use the zero product property.

or Solve for 'x' in each case.

So the possible solutions are or . If you plug in each solution to check, you'll find that they both work.

So the solutions are or
RELATED QUESTIONS
how do I solve the square root of x+2 -1 outside the root = square root of... (answered by bucky)

square root of x+2 = 4 square root of x. I know the answer is 2/15 but I do not know how... (answered by jsmallt9)

hello. how do i solve this please? square root of x^2+2x+1 thank... (answered by josgarithmetic)

How do I solve this by using the square root property?... (answered by College Student,rapaljer,dpaulin)

How do i solve: F(x)= X divided by the X square root of 2 minus 4 Please help me... (answered by Fombitz)

how do i simplify the square root of 6-x minus the square root of x-2 equals... (answered by jsmallt9)

how do I divide the square root of x-2 by the square root of... (answered by stanbon)

How do I solve (x+4)^2=-49 using the square root... (answered by MathLover1)

How do I solve 3+ (square root of) x^2-8x = 0 ? Please note I do not know how to put... (answered by scott8148)