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

The answer to sqrt(x)=(3x)/2 is x=0,x= 4/9

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sqrt(x)=(3x)/2

x = \frac{3 x}{2}

x = 0, x = \frac{4}{9}

Decimal Notation

x = 0, x = 0.44444 \dots

Solution steps

x = \frac{3 x}{2}

Multiply both sides by

2

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

Simplify

x \cdot 2 = 3 x

Square both sides:

4 x = 9 x^{2}

4 x = 9 x^{2}

Solve

4 x = 9 x^{2} : x = 0, x = \frac{4}{9}

x = 0, x = \frac{4}{9}

Verify Solutions:

x = 0

True

, x = \frac{4}{9}

True

The solutions are

x = 0, x = \frac{4}{9}

(x^{3})^{\frac{2}{3}} = 9

85300 = 50370 (1 + X)^{1.16}

x + x - 2 = 2

x + 11 - x = 5

4 x - 1 = 80

What is the answer to sqrt(x)=(3x)/2 ?
The answer to sqrt(x)=(3x)/2 is x=0,x= 4/9
Solve for x: sqrt(x)=(3x)/2
The solution is x=0,x= 4/9