2006 iTest Problems/Problem U1
Problem
Find the real number such that
Solution
First, square both sides to remove some radicals.
Next, combine terms, isolate the radical part, and square both sides.
Solve for
by combining terms into a quadratic.
Because we squared both sides, we have to check for extraneous solutions. Of the two values of
,
does not result in equality while
does. Thus, the real number
that satisfies the equation is
.
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: Problem 40 |
Followed by: Problem U2 | |
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