Solve (2.001)=(2.001)^3-8/(2.001)-2

$$( 2.001 ) = \frac { ( 2.001 ) ^ { 3 } - 8 } { ( 2.001 ) - 2 }$$

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Solution Steps

Calculate 2.001 to the power of 3 and get 8.012006001.

$$2.001=\frac{8.012006001-8}{2.001-2}$$

Subtract 8 from 8.012006001 to get 0.012006001.

$$2.001=\frac{0.012006001}{2.001-2}$$

Subtract 2 from 2.001 to get 0.001.

$$2.001=\frac{0.012006001}{0.001}$$

Expand \frac{0.012006001}{0.001} by multiplying both numerator and the denominator by 1000000000.

$$2.001=\frac{12006001}{1000000}$$

Convert decimal number 2.001 to fraction \frac{2001}{1000}.

$$\frac{2001}{1000}=\frac{12006001}{1000000}$$

Least common multiple of 1000 and 1000000 is 1000000. Convert \frac{2001}{1000} and \frac{12006001}{1000000} to fractions with denominator 1000000.

$$\frac{2001000}{1000000}=\frac{12006001}{1000000}$$

Compare \frac{2001000}{1000000} and \frac{12006001}{1000000}.

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