What is the answer to 3sqrt(3x+4)-x=5+x ?

The answer to 3sqrt(3x+4)-x=5+x is x= 11/4 ,x=-1

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3sqrt(3x+4)-x=5+x

3 3 x + 4 - x = 5 + x

x = \frac{11}{4}, x = - 1

Decimal

x = 2.75, x = - 1

Solution steps

3 3 x + 4 - x = 5 + x

Remove square roots

27 x + 36 = 25 + 20 x + 4 x^{2}

Solve

27 x + 36 = 25 + 20 x + 4 x^{2} : x = \frac{11}{4}, x = - 1

x = \frac{11}{4}, x = - 1

Verify Solutions:

x = \frac{11}{4}

True

, x = - 1

True

The solutions are

x = \frac{11}{4}, x = - 1

6 + \frac{6}{x ^{\frac{5}{11}}} = 0

2 2 x - 8 = 3 (2 x + 2)

16 - x^{\frac{2}{3}} = 0

3 x - 5 = 9 x + 33

x - 12 = 2 - x

What is the answer to 3sqrt(3x+4)-x=5+x ?
The answer to 3sqrt(3x+4)-x=5+x is x= 11/4 ,x=-1
Solve for x: 3sqrt(3x+4)-x=5+x
The solution is x= 11/4 ,x=-1