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

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

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

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

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

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

Decimal Notation

x = 0.12952 \dots

Solution steps

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

Square both sides:

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

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

Solve

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

m + 5 = 3

x^{3} - 9 x^{\frac{2}{3}} + 8 = 0

A x + B x - C = 0

y, y^{\frac{2}{3}} = x

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