Solve -4.9^2-4/-4.9^2+3(-4.9)-10

$$\frac{ { -4.9 }^{ 2 } -4 }{ { -4.9 }^{ 2 } +3(-4.9)-10 }$$

Evaluate

$$-29$$

Solution Steps

Calculate -4.9 to the power of 2 and get 24.01.

$$\frac{24.01-4}{\left(-4.9\right)^{2}+3\left(-4.9\right)-10}$$

Subtract 4 from 24.01 to get 20.01.

$$\frac{20.01}{\left(-4.9\right)^{2}+3\left(-4.9\right)-10}$$

Calculate -4.9 to the power of 2 and get 24.01.

$$\frac{20.01}{24.01+3\left(-4.9\right)-10}$$

Multiply 3 and -4.9 to get -14.7.

$$\frac{20.01}{24.01-14.7-10}$$

Subtract 14.7 from 24.01 to get 9.31.

$$\frac{20.01}{9.31-10}$$

Subtract 10 from 9.31 to get -0.69.

$$\frac{20.01}{-0.69}$$

Expand \frac{20.01}{-0.69} by multiplying both numerator and the denominator by 100.

$$\frac{2001}{-69}$$

Divide 2001 by -69 to get -29.

$$-29$$

Factor

$$-29$$