What is the answer to 3x+2sqrt(x)-1=0 ?

The answer to 3x+2sqrt(x)-1=0 is x= 1/9

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3x+2sqrt(x)-1=0

3 x + 2 x - 1 = 0

x = \frac{1}{9}

Decimal

x = 0.11111 \dots

Solution steps

3 x + 2 x - 1 = 0

Remove square roots

4 x = 9 x^{2} - 6 x + 1

Solve

4 x = 9 x^{2} - 6 x + 1 : x = 1, x = \frac{1}{9}

x = 1, x = \frac{1}{9}

Verify Solutions:

x = 1

False

, x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

2 5 m + 5 = 3 m + 86

8 x - 23 - 10 = - 3

3 - 6 - x = 3 3 x + 26

8 x = x

2 x + 11 - 11 = - 8