What is the answer to sqrt(3x+34-2)=x ?

The answer to sqrt(3x+34-2)=x is x=(3+sqrt(137))/2

Solve for x: sqrt(3x+34-2)=x

The solution is x=(3+sqrt(137))/2

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3 x + 34 - 2 = x

x = \frac{3 + 137}{2}

Decimal Notation

x = 7.35234 \dots

Solution steps

3 x + 34 - 2 = x

Square both sides:

3 x + 32 = x^{2}

3 x + 32 = x^{2}

Solve

3 x + 32 = x^{2} : x = \frac{3 + 137}{2}, x = \frac{3 - 137}{2}

x = \frac{3 + 137}{2}, x = \frac{3 - 137}{2}

Verify Solutions:

x = \frac{3 + 137}{2}

True

, x = \frac{3 - 137}{2}

False

The solution is

x = \frac{3 + 137}{2}

(x^{3.5}) \cdot 0.12 = 0

1 = t + 2 t - 3

7 x + 95 - 1 = 8

x = x - 4

What is the answer to sqrt(3x+34-2)=x ?
The answer to sqrt(3x+34-2)=x is x=(3+sqrt(137))/2
Solve for x: sqrt(3x+34-2)=x
The solution is x=(3+sqrt(137))/2