CPM Homework Help : A2C Problem 11-149

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Home > A2C > Chapter Ch11 > Lesson 11.3.2 > Problem 11-149

11-149.

Solve and check each equation.

$\sqrt { x + 20 } = x$
Hint (a):
Square each side.
Set the equation equal to zero
Factor the equation.
$x + 20 = x^{2}\\0 = x^{2} − x − 20$
Answer (a):
$x = 5$

$\sqrt { x - 2 } - \sqrt { 2 x + 3 } = - 2$
Hint (b):
$\sqrt{x-2}+2=\sqrt{2x+3}$
$x-2+2\sqrt{x-2}+4=2x+3$
Here is the start of the process.
Complete the rest and check all possible answers.
Answer (b):
$x = 3 x = 11$

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