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Popular >

sqrt(x^2-5x+5)=x

Solution

x^{2} - 5 x + 5 = x

Solution

x = 1

Solution steps

x^{2} - 5 x + 5 = x

Square both sides:

x^{2} - 5 x + 5 = x^{2}

x^{2} - 5 x + 5 = x^{2}

Solve

x^{2} - 5 x + 5 = x^{2} : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

Popular Examples

sqrt(x)*(sqrt(x)-1)=0

x \cdot (x - 1) = 0

sqrt(2x+21)-sqrt(2x+12)=1

2 x + 21 - 2 x + 12 = 1

(11-6)^2+sqrt(x)=32

(11 - 6)^{2} + x = 32

3 (x - 1)^{\frac{1}{3}} = 1

x - 8 = 2

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x^2-5x+5)=x ?
The answer to sqrt(x^2-5x+5)=x is x=1
Solve for x: sqrt(x^2-5x+5)=x
The solution is x=1