### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem9-159

9-159.

Verify that the graphs of the equations $x^{2} + y^{3} = 17$ and $x^{4} − 4y^{2} − 8xy = 17$ intersect at $\left(3, 2\right)$.

Insert the values of the point into the equations.

$3^{2} + 2^{3} = 17\\3^{4} − 4\left(2^{2}\right) − 8\left(3\right)\left(2\right) = 17$

Simplify.

$9 + 8 = 17$

$81 − 16 − 48 = 17$

$17 = 17\\17 = 17$