What is the answer to (48)/x =sqrt(100-x^2) ?

The answer to (48)/x =sqrt(100-x^2) is x=6,x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(48)/x =sqrt(100-x^2)

\frac{48}{x} = 100 - x^{2}

x = 6, x = 8

Solution steps

\frac{48}{x} = 100 - x^{2}

Multiply both sides by

x

\frac{48}{x} x = 100 - x^{2} x

Simplify

48 = 100 - x^{2} x

Square both sides:

2304 = 100 x^{2} - x^{4}

2304 = 100 x^{2} - x^{4}

Solve

2304 = 100 x^{2} - x^{4} : x = 6, x = - 6, x = 8, x = - 8

x = 6, x = - 6, x = 8, x = - 8

Verify Solutions:

x = 6

True

, x = - 6

False

, x = 8

True

, x = - 8

False

The solutions are

x = 6, x = 8

x + 1 = 2 x

x + 1 = - 7

(x - 1)^{\frac{2}{3}} = 9

3 x + 51 - 15 = - 9

14 - w = w - 2

What is the answer to (48)/x =sqrt(100-x^2) ?
The answer to (48)/x =sqrt(100-x^2) is x=6,x=8
Solve for x: (48)/x =sqrt(100-x^2)
The solution is x=6,x=8