What is the answer to sqrt(x+5)=2x+3 ?

The answer to sqrt(x+5)=2x+3 is x=(-11+sqrt(57))/8

Solve for x: sqrt(x+5)=2x+3

The solution is x=(-11+sqrt(57))/8

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x + 5 = 2 x + 3

x = \frac{- 11 + 57}{8}

Decimal Notation

x = - 0.43127 \dots

Solution steps

x + 5 = 2 x + 3

Square both sides:

x + 5 = 4 x^{2} + 12 x + 9

x + 5 = 4 x^{2} + 12 x + 9

Solve

x + 5 = 4 x^{2} + 12 x + 9 : x = \frac{- 11 + 57}{8}, x = \frac{- 11 - 57}{8}

x = \frac{- 11 + 57}{8}, x = \frac{- 11 - 57}{8}

Verify Solutions:

x = \frac{- 11 + 57}{8}

True

, x = \frac{- 11 - 57}{8}

False

The solution is

x = \frac{- 11 + 57}{8}

- 3 x - 5 = - 17

5 x - 15 - 4 = 1

2 x^{\frac{1}{3}} - 2 = 0

3 x + 1 + 3 x - 6 = 7

3 x - 9 = x - 3

What is the answer to sqrt(x+5)=2x+3 ?
The answer to sqrt(x+5)=2x+3 is x=(-11+sqrt(57))/8
Solve for x: sqrt(x+5)=2x+3
The solution is x=(-11+sqrt(57))/8