What is the answer to 3x-sqrt(x^2+1)=5 ?

The answer to 3x-sqrt(x^2+1)=5 is x=(15+sqrt(33))/8

Solve for x: 3x-sqrt(x^2+1)=5

The solution is x=(15+sqrt(33))/8

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3 x - x^{2} + 1 = 5

x = \frac{15 + 33}{8}

Decimal Notation

x = 2.59307 \dots

Solution steps

3 x - x^{2} + 1 = 5

Remove square roots

x^{2} + 1 = 25 - 30 x + 9 x^{2}

Solve

x^{2} + 1 = 25 - 30 x + 9 x^{2} : x = \frac{15 + 33}{8}, x = \frac{15 - 33}{8}

x = \frac{15 + 33}{8}, x = \frac{15 - 33}{8}

Verify Solutions:

x = \frac{15 + 33}{8}

True

, x = \frac{15 - 33}{8}

False

The solution is

x = \frac{15 + 33}{8}

\frac{3 x + 10}{2 x + 5} = 0

2 x = \frac{x ^{2}}{4}

2 x + 18 - x + 5 = 2

4 x - 3 = - 4

What is the answer to 3x-sqrt(x^2+1)=5 ?
The answer to 3x-sqrt(x^2+1)=5 is x=(15+sqrt(33))/8
Solve for x: 3x-sqrt(x^2+1)=5
The solution is x=(15+sqrt(33))/8