Solve for x: 3+sqrt(x+2)=3+x

listgrein6u

listgrein6u

Answered question

2022-09-02

Solve for x: 3 + x + 2 = 3 + x

Answer & Explanation

Blaine Day

Blaine Day

Beginner2022-09-03Added 14 answers

3 + x + 2 = 3 + x
x + 2 = x (subtract 3 from both sides)
x + 2 = x 2 (square both sides)
x 2 x 2 = 0 (moved everything to one side of the equation)
(x-2)(x+1)=0 (factored)
x = 2, -1
cubanwongux

cubanwongux

Beginner2022-09-04Added 4 answers

subtract 3 from both sides
x + 2 = x
square both sides
x + 2 = x 2
move everything to the right
0 = x 2 x 2
factor this to solve for x
0=x(x-1)-2
so from this
x 2 = 0 x = 2
or
x 1 = 0 x = 1
Test both values to see which ones makes the equation 0 = x 2 x 2 true, and it happens to be only x = 2
so the answer is x = 2

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