Solve for x: 1x+2+1x+3=16?
- 5.5
- 4.5
- 5
- None of these
Explanation
Assuming you mean 1/(x+2) + 1/(x+3) = 16
[(x+3)+(x+2)] / [(x+2)(x+3)] = 16
(2x+5) / (x^2+5x+6) = 16
Cross multiply: 2x+5 = 16x^2+80x+96
0 = 16x^2+78x+91
Using quadratic formula: x = [-78 +- sqrt(260)]/32
x = [-39 +- sqrt(65)]/16
x ≈ -1.93 or x ≈ -2.94
x cannot be -2 or -3
If you meant x+2 + x+3 = 16, then 2x+5=16 → x=5.5
Last verified on 13-06-2026
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