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

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

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

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

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x + 1 = 3 x + 2

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

Decimal Notation

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

Solution steps

x + 1 = 3 x + 2

Square both sides:

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

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

Solve

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

(2 + 1)^{2} + (k - 1)^{2} = 5

x + 3 + x = x

x^{- \frac{1}{4}} = 2

4 x + 3 = 15

(x - 3)^{2} = 8

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