What is the answer to 2sqrt(x+1)=3x-2 ?

The answer to 2sqrt(x+1)=3x-2 is x= 16/9

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2sqrt(x+1)=3x-2

2 x + 1 = 3 x - 2

x = \frac{16}{9}

Decimal Notation

x = 1.77777 \dots

Solution steps

2 x + 1 = 3 x - 2

Square both sides:

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

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

Solve

4 x + 4 = 9 x^{2} - 12 x + 4 : x = \frac{16}{9}, x = 0

x = \frac{16}{9}, x = 0

Verify Solutions:

x = \frac{16}{9}

True

, x = 0

False

The solution is

x = \frac{16}{9}

- 2 = x

y - 2 = - y + 14

a = 2 b \cdot \frac{k}{c}

0.01 = \frac{1}{x}

x = \frac{1}{3} x^{\frac{1}{2}} + 1

What is the answer to 2sqrt(x+1)=3x-2 ?
The answer to 2sqrt(x+1)=3x-2 is x= 16/9
Solve for x: 2sqrt(x+1)=3x-2
The solution is x= 16/9