What is the sum of all possible solutions to the equation √2x^2−x−9 = x+1 ?	Choose the correct answer.
A) -2	B) 2	C) 3	D) 5	E) 6
First of all notice that since LHS is the square root of a number, it must be non-negative (the square root function cannot give negative result), then the RHS must also be non-negative: x+1≥0 --&gt; x≥−1   Square the equation: 2x^2−x−9=x^2+2x+1 --&gt; x^2−3x−10=0 --&gt; x=-2 or x=5. Discard x=-2 because it's not &gt;=-1. We are left with only one root: 5.   Answer: 5
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What is the sum of all possible solutions to the equation √2x^2−x−9 = x+1 ?