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Popular >

(x+6)^{1/2}=x

Solution

(x + 6)^{\frac{1}{2}} = x

Solution

x = 3

Solution steps

(x + 6)^{\frac{1}{2}} = x

Square both sides:

x + 6 = x^{2}

x + 6 = x^{2}

Solve

x + 6 = x^{2} : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

Popular Examples

x^{2/3}=(x+4)/3

x^{\frac{2}{3}} = \frac{x + 4}{3}

3 = \frac{k}{3}

x + 4 = x + 10

sqrt(2x+1)-sqrt(3x-6)=0

2 x + 1 - 3 x - 6 = 0

sqrt(4+t)-sqrt(-t+6)=-2

4 + t - - t + 6 = - 2

Frequently Asked Questions (FAQ)

What is the answer to (x+6)^{1/2}=x ?
The answer to (x+6)^{1/2}=x is x=3
Solve for x: (x+6)^{1/2}=x
The solution is x=3