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Algebra Level 1

10 x 2 = 100 x 3 \large 10 x^{2}=100 x^{3}

Determine the non-zero value of x x that makes the equation true.


The answer is 0.1.

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3 solutions

Joe Mansley
Oct 24, 2015

Divide both sides by 10x^2. You get 1=10x. Divide both sides by 10, you get x=0.1

Nice solution

Bhavna Sachan - 5 years, 7 months ago
Nikhil Raj
Jun 6, 2017

10 x 2 = 100 x 3 100 x 3 10 x 2 = 0 10 x 2 ( 10 x 1 ) = 0 10 x 1 = 0 x = 1 10 = 0.1 10x^2 = 100x^3 \\ 100x^3 - 10x^2 = 0 \\ 10x^2(10x - 1) = 0 \\ 10x - 1 = 0 \\ x = \dfrac{1}{10} = \color{#3D99F6}{\boxed{\color{#20A900}{0.1}}}

Jacob Meek
Oct 26, 2015

10x^2=100x^3

10/100=x^3/x^2

1/10=x

Excellent straight-forward solution. Remember, you're using the fact that x x is not equal to 0 to perform the division step!

Other than that, this looks great.

Andrew Ellinor - 5 years, 7 months ago

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