Algebrahard · Past Paper

Solve for x: 1/(x+1) + 1/(x+2) = 2/(x+10). (Though simplified it involves x^2, certain forms at SEE level are treated via logic).

A-26/17
B-13/10
C5
D2

✓ Correct Answer: A-26/17

[(x+2)+(x+1)]/[(x+1)(x+2)] = 2/(x+10) -> (2x+3)(x+10) = 2(x^2+3x+2) -> 2x^2+23x+30 = 2x^2+6x+4 -> 17x = -26 -> x = -26/17.

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