Question

16x-
10upon x= 24
$16x - \frac{10}{x} = 27$
​

Answer 1

Answer:

x = 2 or  x =  $\frac{5}{16}$

Step-by-step explanation:

$\frac{16x^{2} - 10 }{x} = 27$

16x² - 10 = 27x

16x² - 27x - 10 = 0   ....   (i)

16 * 10 = 160

The factor pairs of 160 are 1 × 160, 2 × 80 , 4 × 40 , 5 × 32 , 8 × 20 and 10 × 16  

- 27 can be written as - 32x + 5x

Rewriting equation (i),

16x² - 32x + 5x - 10 = 0

16x (x - 2) + 5 (x - 2) = 0

⇒ (x - 2) ( 16x - 5) = 0

⇒ x - 2 = 0 or 16x - 5 = 0

⇒ x = 2 or 16x = 5

⇒ x = 2 or  x =  $\frac{5}{16}$