What is the answer to sqrt(x^2-5x)=xsqrt(x-5) ?

The answer to sqrt(x^2-5x)=xsqrt(x-5) is x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 5

Solution steps

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

Square both sides:

x^{2} - 5 x = x^{3} - 5 x^{2}

x^{2} - 5 x = x^{3} - 5 x^{2}

Solve

x^{2} - 5 x = x^{3} - 5 x^{2} : x = 0, x = 1, x = 5

x = 0, x = 1, x = 5

Verify Solutions:

x = 0

False

, x = 1

False

, x = 5

True

The solution is

x = 5

x - 7 x + 6 = 0

x - 6 = x + 3

x^{\frac{1}{3}} = 9

5 - x = 0

3 x + 34 - x + 31 = 1

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