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

The answer to 2/(sqrt(x))=3 is x= 4/9

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2/(sqrt(x))=3

\frac{2}{x} = 3

x = \frac{4}{9}

Decimal Notation

x = 0.44444 \dots

Solution steps

\frac{2}{x} = 3

Multiply both sides by

x

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

Simplify

2 = 3 x

Switch sides

3 x = 2

Divide both sides by

3

x = \frac{2}{3}

Square both sides:

x = \frac{4}{9}

x = \frac{4}{9}

Verify Solutions:

x = \frac{4}{9}

True

The solution is

x = \frac{4}{9}

x, y = 2 x^{2} + 10

0 = 15.2778 + x^{3.9}

2 x - x + 3 = 9

- 1 = - 4 x

x + 7 = - x + 5