What is the answer to sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3)) ?

The answer to sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3)) is x=(11+3sqrt(13))/2

Solve for x: sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3))

The solution is x=(11+3sqrt(13))/2

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3 x + 12 = \frac{x + 5}{3}

x = \frac{11 + 3 13}{2}

Decimal Notation

x = 10.90832 \dots

Solution steps

3 x + 12 = \frac{x + 5}{3}

Multiply both sides by

3

3 x 3 + 123 = \frac{x + 5}{3} 3

Simplify

3 3 x + 6 = x + 5

Remove square roots

9 x = x^{2} - 2 x + 1

Solve

9 x = x^{2} - 2 x + 1 : x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

Verify Solutions:

x = \frac{11 + 3 13}{2}

True

, x = \frac{11 - 3 13}{2}

False

The solution is

x = \frac{11 + 3 13}{2}

x + 25 + 5 = x

8 x + 12 + 6 = 8

3 x + 1 = 3 + x - 4

2 x + 22 + 19 = 21

x - 2 x = 0

What is the answer to sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3)) ?
The answer to sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3)) is x=(11+3sqrt(13))/2
Solve for x: sqrt(3x)+sqrt(12)=(x+5)/(sqrt(3))
The solution is x=(11+3sqrt(13))/2