Answer
$ 4$
Work Step by Step
$2+\sqrt {12-2x}=x$
$\sqrt {12-2x}=x-2$
$12-2x=x^2-4x+4$
$x^2-2x-8=0$
$(x-4)(x+2)=0$
thus $x=-2,4$
check, only $x=4$ fits.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.8 Solving Equations - A.8 Assess Your Understanding - Page A70: 54
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