Processing math: 90%
Home / Aptitude Tests / Further Mathematics / Given that \(\frac{8...
Given that \(\frac{8x+m}{x^2-3x-4} ≡ \frac{5}{x+1...

Given that 8x+mx23x45x+1+3x4

A.

23

B.

17

C.

-17

D.

18

Correct answer is C

8x+mx23x45x+1+3x4

8x+mx23x45(x1)+3(x+4)x23x4

multiplying both sides by x2-3x-4
8x+m ≡ 5(x-4)+3(x+1)
8x + m ≡ 5x - 20 + 3x + 3
8x - 5x - 3x + m = -20 + 3
m = -17