Question

please answers please no spam ❌❌⭕❌⭕❌⭕❌​

Answer 1

EXPLANATION.

⇒ 24x² + 25x - 47/(ax - 2) = (-8x - 3) - (53)/(ax - 2).

Is true for all values of x ≠ 2/a.

As we know that,

We can write equation as,

⇒ 24x² + 25x - 47/(ax - 2) = (ax - 2)(-8x - 3) - 53/(ax - 2).

⇒ 24x² + 25x - 47 = (ax - 2)(-8x - 3) - 53.

⇒ 24x² + 25x - 47 = ax(-8x - 3) - 2(-8x - 3) - 53.

⇒ 24x² + 25x - 47 = -8ax² - 3ax + 16x + 6 - 53.

⇒ 24x² + 25x - 47 = - 8ax² - 3ax + 16x - 47.

⇒ 24x² + 25x - 47 + 8ax² + 3ax - 16x + 47 = 0.

⇒ 24x² + 8ax² + 25x - 16x + 3ax - 47 + 47 = 0.

⇒ 8ax² + 24x² + 3ax + 9x = 0.

⇒ 8x²(a + 3) + 3x(a + 3) = 0.

⇒ (8x² + 3x)(a + 3) = 0.

⇒ (8x² + 3x) = 0.

⇒ x(8x + 3) = 0.

⇒ 8x = - 3.

⇒ x = -3/8.

⇒ x = ≠ - 3/8.

⇒ (a + 3) = 0.

⇒ a = - 3.

Option [B] is correct answer.

Answer 2

$\large\orange{\fbox{\tt{♛OUESTION♛}}}$

If 24x² + 25x − 47ax − 2 = −8x − 3 − 53 / ax − 2

ax ≠ 2

$\large\purple{\fbox{\tt{♛ANSWER♛}}}$

24x² + 25x − 47 = (ax−2) (−8x−3) − 53

24x² + 25x + 6 = (ax−2)(−8x−3)

24x² + 25x + 6 = −8ax² + 16x − 3ax + 6

24x² + 9x = −8ax² − 3ax

24x² + 8ax² + 9x + 3ax = 0

8x² (a+3) + 3x (a+3) = 0

(8x² + 3x) (a + 3)

8x² + 3x = 0

x (8x + 3) = 0

8x = -3

x = -3 / 8

a + 3 = 0

a = -3

$\large{\fbox{\tt{HOPE IT IS HELPFUL}}}$