Question

Is my answer correct??

Evaluate x^2/y + x^2/z , if x = 10, y = -5, and z = -2.

choices:
30
-30
-70 <-- i chose this!
70

Answer 1

The equation is:
\[\frac{x^2}{y}+\frac{x^2}{z}\]
So we do:
\[\left.\left.\left.\frac{x^2}{y}+\frac{x^2}{z}\right|_{x=10}\right|_{y=-5}\right|_{z=-2}\]
\[=\left.\left.\frac{(10)^2}{y}+\frac{(10)^2}{z}\right|_{y=-5}\right|_{z=-2}\]
\[=\left.\left.\frac{100}{y}+\frac{100}{z}\right|_{y=-5}\right|_{z=-2}\]
\[=\left.\frac{100}{-5}+\frac{100}{z}\right|_{z=-2}\]
\[=\left.-20+\frac{100}{z}\right|_{z=-2}\]
\[=-20+\frac{100}{-2}\]
\[=-20-50\]
\[=-70\]

Answer 2

You are correct :-)