Solve 413^2+632^2/-613^2+232^2

$$\frac { 413 ^ { 2 } + 632 ^ { 2 } } { - 613 ^ { 2 } + 232 ^ { 2 } }$$

Evaluate

$$-\frac{569993}{321945}\approx -1.770467005$$

Solution Steps

Calculate 413 to the power of 2 and get 170569.

$$\frac{170569+632^{2}}{-613^{2}+232^{2}}$$

Calculate 632 to the power of 2 and get 399424.

$$\frac{170569+399424}{-613^{2}+232^{2}}$$

Add 170569 and 399424 to get 569993.

$$\frac{569993}{-613^{2}+232^{2}}$$

Calculate 613 to the power of 2 and get 375769.

$$\frac{569993}{-375769+232^{2}}$$

Calculate 232 to the power of 2 and get 53824.

$$\frac{569993}{-375769+53824}$$

Add -375769 and 53824 to get -321945.

$$\frac{569993}{-321945}$$

Fraction \frac{569993}{-321945} can be rewritten as -\frac{569993}{321945} by extracting the negative sign.

$$-\frac{569993}{321945}$$

Factor

$$-\frac{569993}{321945} = -1\frac{248048}{321945} = -1.7704670052338132$$