(14x + 10)/(x(x + 5)) decomposes as?
- 2/x + 12/(x +5)
- 3/x + 22/(x +5)
- 4/x + 16/(x +5)
- None of these
Explanation
Write (14x + 10)/(x(x + 5)) = A/x + B/(x + 5)
Multiply both sides by x(x + 5):
14x + 10 = A(x + 5) + Bx
Now find A and B by plugging in values for x:
Put x = 0:
14_0 + 10 = A(0 + 5) + B_0
10 = 5A
A = 2
Put x = -5:
14_(-5) + 10 = A(0) + B_(-5)
-70 + 10 = -5B
-60 = -5B
B = 12
So (14x + 10)/(x(x + 5)) = 2/x + 12/(x + 5)
Last verified on 25-05-2026
Related MCQs
- 18 pilgrims, giving P 26, R 36 and S 22
- 14 pilgrims, giving P 22, R 28 and S 18
- 16 pilgrims, giving P 24, R 32 and S 20
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 26
- 28
- 27
- No whole-number solution exists under the stated scoring system.
اس سوال کو وضاحت کے ساتھ پڑھیں
- {1}
- {-1}
- {0}
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- -72
- -60
- -48
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
