What is the answer to 10sqrt(x^5)=3x^2 ?

The answer to 10sqrt(x^5)=3x^2 is x=0,x= 9/100

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10sqrt(x^5)=3x^2

10 x^{5} = 3 x^{2}

x = 0, x = \frac{9}{100}

Decimal Notation

x = 0, x = 0.09

Solution steps

10 x^{5} = 3 x^{2}

Square both sides:

100 x^{5} = 9 x^{4}

100 x^{5} = 9 x^{4}

Solve

100 x^{5} = 9 x^{4} : x = 0, x = \frac{9}{100}

x = 0, x = \frac{9}{100}

Verify Solutions:

x = 0

True

, x = \frac{9}{100}

True

The solutions are

x = 0, x = \frac{9}{100}

x - 9 = 5

9 x^{\frac{5}{3}} = 0

- 5 = 7 x + 2 - 9

x + 10 = 2 - x

0 = \frac{2}{x ^{\frac{1}{3}}} - 2

What is the answer to 10sqrt(x^5)=3x^2 ?
The answer to 10sqrt(x^5)=3x^2 is x=0,x= 9/100
Solve for x: 10sqrt(x^5)=3x^2
The solution is x=0,x= 9/100