CPM Homework Help : INT3 Problem 4-23

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Home > INT3 > Chapter Ch4 > Lesson 4.1.2 > Problem 4-23

4-23.

Solve each equation for $y$ .

$x^2=x(2x−4)+y$
Step 1(a):
$x^{2}=2x^2-4x+y$
Step 2(a):
$x^2-2x^2+4x=y$
Answer (a):
$y = -x^2 + 4x$

$x=3+(y−5)^2$
Step 1(b):
Subtract $3$ from each side.
$x-3=\left(y-5\right)^2$
Step 2(b):
Square root both sides of the equation to get:
$\pm \sqrt{x-3}=y-5$
Answer (b):
$y=5\pm \sqrt{x-3}$

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