CPM Homework Help : CCA2 Problem 8-159

Verify that the graphs of the equations $x^2 + y^3 = 17$ and $x^4 - 4y^2 - 8xy = 17$ intersect at $(3, 2)$ .

Step 1:

Insert the values of the point into the equations.
$3^2 + 2^3 = 17$
$3^4 − 4(2^2) − 8(3)(2) = 17$

Step 2:

Simplify.
$9 + 8 = 17$
$81 - 16 - 48 = 17$

Answer:

$17 = 17$