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

The answer to sqrt(x+3)=3x is x=(1+sqrt(109))/(18)

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

The solution is x=(1+sqrt(109))/(18)

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x + 3 = 3 x

x = \frac{1 + 109}{18}

Decimal Notation

x = 0.63557 \dots

Solution steps

x + 3 = 3 x

Square both sides:

x + 3 = 9 x^{2}

x + 3 = 9 x^{2}

Solve

x + 3 = 9 x^{2} : x = \frac{1 + 109}{18}, x = \frac{1 - 109}{18}

x = \frac{1 + 109}{18}, x = \frac{1 - 109}{18}

Verify Solutions:

x = \frac{1 + 109}{18}

True

, x = \frac{1 - 109}{18}

False

The solution is

x = \frac{1 + 109}{18}

4 + x = 1 + 3

(3 x - 3)^{\frac{1}{3}} = - 3

x^{2} + 5 x + 25 = x + 4

x - 10 - 3 x = 0

x, x^{2} + x - 2 = 2

What is the answer to sqrt(x+3)=3x ?
The answer to sqrt(x+3)=3x is x=(1+sqrt(109))/(18)
Solve for x: sqrt(x+3)=3x
The solution is x=(1+sqrt(109))/(18)