What is the answer to sqrt(x+2)=x-2 ?

The answer to sqrt(x+2)=x-2 is x=(5+sqrt(17))/2

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

The solution is x=(5+sqrt(17))/2

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x + 2 = x - 2

x = \frac{5 + 17}{2}

Decimal Notation

x = 4.56155 \dots

Solution steps

x + 2 = x - 2

Square both sides:

x + 2 = x^{2} - 4 x + 4

x + 2 = x^{2} - 4 x + 4

Solve

x + 2 = x^{2} - 4 x + 4 : x = \frac{5 + 17}{2}, x = \frac{5 - 17}{2}

x = \frac{5 + 17}{2}, x = \frac{5 - 17}{2}

Verify Solutions:

x = \frac{5 + 17}{2}

True

, x = \frac{5 - 17}{2}

False

The solution is

x = \frac{5 + 17}{2}

10 + 3 a = a

p - 3 p = 10

x + 1 = 2 x - 4

x - 5 + x = 5

w^{2} + 2 w = w + 3

What is the answer to sqrt(x+2)=x-2 ?
The answer to sqrt(x+2)=x-2 is x=(5+sqrt(17))/2
Solve for x: sqrt(x+2)=x-2
The solution is x=(5+sqrt(17))/2