What is the answer to 13sqrt(1+x^2)=10+24x ?

The answer to 13sqrt(1+x^2)=10+24x is x=(-240+169sqrt(3))/(407)

Solve for x: 13sqrt(1+x^2)=10+24x

The solution is x=(-240+169sqrt(3))/(407)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

13 1 + x^{2} = 10 + 24 x

x = \frac{- 240 + 169 3}{407}

Decimal Notation

x = 0.12952 \dots

Solution steps

13 1 + x^{2} = 10 + 24 x

Square both sides:

169 + 169 x^{2} = 100 + 480 x + 576 x^{2}

169 + 169 x^{2} = 100 + 480 x + 576 x^{2}

Solve

169 + 169 x^{2} = 100 + 480 x + 576 x^{2} : x = \frac{- 240 + 169 3}{407}, x = - \frac{240 + 169 3}{407}

x = \frac{- 240 + 169 3}{407}, x = - \frac{240 + 169 3}{407}

Verify Solutions:

x = \frac{- 240 + 169 3}{407}

True

, x = - \frac{240 + 169 3}{407}

False

The solution is

x = \frac{- 240 + 169 3}{407}

0 = 4 - x

x^{2} + 5 = 3 - x

9 + 8 x + 6 x + 7 = 2

3 x + 40 = x

6 x + 5 + 20 - x = 7

What is the answer to 13sqrt(1+x^2)=10+24x ?
The answer to 13sqrt(1+x^2)=10+24x is x=(-240+169sqrt(3))/(407)
Solve for x: 13sqrt(1+x^2)=10+24x
The solution is x=(-240+169sqrt(3))/(407)