Algebrahard · Past Paper
Solve for x: (x-3)/(x+3) + (x+3)/(x-3) = 10/3.
A±6
B±3
C±4
D±2
✓ Correct Answer: A — ±6
Let y = (x-3)/(x+3). y + 1/y = 10/3 → y=3 or 1/3. (x-3)/(x+3)=3 → x-3=3x+9 → 2x=-12 → x=-6.
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✓ Correct Answer: A — ±6
Let y = (x-3)/(x+3). y + 1/y = 10/3 → y=3 or 1/3. (x-3)/(x+3)=3 → x-3=3x+9 → 2x=-12 → x=-6.
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