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A Real Number problem (Posted on 2006-08-16) Difficulty: 2 of 5
Given that x is a real number, determine all possible solutions of:
√(x-1) + √(3-x) = x² - 4x + 6

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

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Solution go graphical | Comment 3 of 9 |
The left side is only defined in the range 1 < x < 3
Plotting y vs each side of the equation in that range results in a curve, and the two curves only intersect at (2,2).  So the answer is 2.

Not sure how to do it empirically

  Posted by Larry on 2006-08-16 21:39:45
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