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Pixie Stick
Mathematics
11 May, 18:39
1/x + 1/x-3 = x-2/x-3
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Emilee Dunn
11 May, 18:40
0
Step 1: Multiply both sides by x.
-3x+2=x2-3x-2
Step 2: Multiply both sides by x.
-3x2+2x=x3-3x2-2x
-3x2+2x - (x3-3x2-2x) = x3-3x2-2x - (x3-3x2-2x) (Subtract x^3-3x^2-2x from both sides)
-x3+4x=0
x (-x+2) (x+2) = 0 (Factor left side of equation)
x=0 or - x+2=0 or x+2=0 (Set factors equal to 0)
x=0 or x=2 or x=-2
Check answers. (Plug them in to make sure they work.)
x=2 (Works in original equation)
x=-2 (Works in original equation)
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