What is the answer to sqrt(5-x)=x*sqrt(5-x) ?

The answer to sqrt(5-x)=x*sqrt(5-x) is x=5,x=1

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sqrt(5-x)=x*sqrt(5-x)

5 - x = x \cdot 5 - x

x = 5, x = 1

Solution steps

5 - x = x 5 - x

Move

x 5 - x

to the left side

5 - x - x 5 - x = 0

Factor

5 - x - x 5 - x : - 5 - x (x - 1)

- 5 - x (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 - x = 0 or x - 1 = 0

Solve

5 - x = 0 : x = 5

Solve

x - 1 = 0 : x = 1

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

7 \frac{x}{( 1 - x )} + 8 \frac{( 1 - x )}{x} = 15

a^{\frac{1}{3}} = 2 6^{\frac{1}{3}} + 7^{\frac{1}{3}} + 6 3^{\frac{1}{3}}

x^{\frac{4}{3}} - 5 x^{\frac{2}{3}} - 36 = 0

5 + x + 14 = x + 34

3 x - 10 = 2

What is the answer to sqrt(5-x)=x*sqrt(5-x) ?
The answer to sqrt(5-x)=x*sqrt(5-x) is x=5,x=1
Solve for x: sqrt(5-x)=x*sqrt(5-x)
The solution is x=5,x=1