What is the answer to sqrt(10-x)=2-x ?

The answer to sqrt(10-x)=2-x is x=(3-sqrt(33))/2

Solve for x: sqrt(10-x)=2-x

The solution is x=(3-sqrt(33))/2

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10 - x = 2 - x

x = \frac{3 - 33}{2}

Decimal Notation

x = - 1.37228 \dots

Solution steps

10 - x = 2 - x

Square both sides:

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

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

Solve

10 - x = 4 - 4 x + x^{2} : x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

Verify Solutions:

x = \frac{3 + 33}{2}

False

, x = \frac{3 - 33}{2}

True

The solution is

x = \frac{3 - 33}{2}

x - 2 x = - 0.88

3 x = 10 - x

(20 x)^{\frac{3}{4}} = 5

\frac{3 x - 6 x}{x - 4} = 2

x - 4 = \frac{1}{x ^{2} - 81}

What is the answer to sqrt(10-x)=2-x ?
The answer to sqrt(10-x)=2-x is x=(3-sqrt(33))/2
Solve for x: sqrt(10-x)=2-x
The solution is x=(3-sqrt(33))/2