Solve 3.001-2/3.001^2-3.001-2

$$\frac{ 3.001-2 }{ { 3.001 }^{ 2 } -3.001-2 }$$

Evaluate

$$\frac{1000}{4001}\approx 0.249937516$$

Solution Steps

Subtract 2 from 3.001 to get 1.001.

$$\frac{1.001}{3.001^{2}-3.001-2}$$

Calculate 3.001 to the power of 2 and get 9.006001.

$$\frac{1.001}{9.006001-3.001-2}$$

Subtract 3.001 from 9.006001 to get 6.005001.

$$\frac{1.001}{6.005001-2}$$

Subtract 2 from 6.005001 to get 4.005001.

$$\frac{1.001}{4.005001}$$

Expand \frac{1.001}{4.005001} by multiplying both numerator and the denominator by 1000000.

$$\frac{1001000}{4005001}$$

Reduce the fraction \frac{1001000}{4005001} to lowest terms by extracting and canceling out 1001.

$$\frac{1000}{4001}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{4001} = 0.24993751562109473$$