Question

What is the value of

​

Answer 1

Answer:

$- 3$

Step-by-step explanation:

$\frac{24 {x}^{2} + 5x - 47 }{ax - 2} = - 8x - 3 - \frac{53}{ax - 2}$

$\frac{24 {x}^{2} + 5x - 47 }{ax - 2} = \frac{ - 8a {x}^{2} - 3ax + 16x + 6 - 53 }{ax - 2}$

$24 {x}^{2} + 5x - 47 = - 8a {x}^{2} + x \times ( - 3a + 16) - 47$

Comparing the coeffients of

${x}^{2}$

$- 8a = 24$

$a = - 3$