What is the answer to 5x-sqrt(3x+8)=8x+2 ?

The answer to 5x-sqrt(3x+8)=8x+2 is x=-4/3

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5x-sqrt(3x+8)=8x+2

5 x - 3 x + 8 = 8 x + 2

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

5 x - 3 x + 8 = 8 x + 2

Remove square roots

3 x + 8 = 9 x^{2} + 12 x + 4

Solve

3 x + 8 = 9 x^{2} + 12 x + 4 : x = \frac{1}{3}, x = - \frac{4}{3}

x = \frac{1}{3}, x = - \frac{4}{3}

Verify Solutions:

x = \frac{1}{3}

False

, x = - \frac{4}{3}

True

The solution is

x = - \frac{4}{3}

x - 4 x - 1 = 6

\frac{1}{2 x} - 2 = 0

4 + 5 v - 20 = v

- x^{3} - 4 x + 4 x + 1 = 0

20 - x = x - 8

What is the answer to 5x-sqrt(3x+8)=8x+2 ?
The answer to 5x-sqrt(3x+8)=8x+2 is x=-4/3
Solve for x: 5x-sqrt(3x+8)=8x+2
The solution is x=-4/3