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

The answer to sqrt(3x+2)-x=1 is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

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

The solution is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

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3 x + 2 - x = 1

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Decimal Notation

x = 1.61803 \dots, x = - 0.61803 \dots

Solution steps

3 x + 2 - x = 1

Remove square roots

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

Solve

3 x + 2 = 1 + 2 x + x^{2} : x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Verify Solutions:

x = \frac{1 + 5}{2}

True

, x = \frac{1 - 5}{2}

True

The solutions are

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

x - 3 - x - 2 = 1

2 + x = x

7 x - 12 = x

(3 x + 5)^{\frac{2}{3}} = 4

x - x + 1 = 4 x - 9

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