What is the answer to solvefor x,sqrt(x+5)=x ?

The answer to solvefor x,sqrt(x+5)=x is x=(1+sqrt(21))/2

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solvefor x,sqrt(x+5)=x

x, x + 5 = x

x = \frac{1 + 21}{2}

Decimal Notation

x = 2.79128 \dots

Solution steps

x + 5 = x

Square both sides:

x + 5 = x^{2}

x + 5 = x^{2}

Solve

x + 5 = x^{2} : x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Verify Solutions:

x = \frac{1 + 21}{2}

True

, x = \frac{1 - 21}{2}

False

The solution is

x = \frac{1 + 21}{2}

x^{0.6} x = 2 x + 48

p - 5 = p - 5

x + 7 = 6

y, x = y - 1 + 3

9 x - 9 = 2 x

What is the answer to solvefor x,sqrt(x+5)=x ?
The answer to solvefor x,sqrt(x+5)=x is x=(1+sqrt(21))/2