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

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

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

3 - 2 x + 3 = 2 x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

3 - 2 x + 3 = 2 x

Remove square roots

2 x + 3 = 4 x^{2} - 12 x + 9

Solve

2 x + 3 = 4 x^{2} - 12 x + 9 : x = 3, x = \frac{1}{2}

x = 3, x = \frac{1}{2}

Verify Solutions:

x = 3

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

\frac{1}{3} x^{\frac{5}{2}} - 39 = 42

\frac{19 x ^{2} - 20 x + 1}{9 x ^{\frac{8}{9}}} = 0

2 x + 3 = 6

4 = x - x + 2

x^{2} - 4 x - 5 = 2 x - 10