If x²+ 7x + 8 = 0, then find the value of 4x/(x² - 5x + 8) .

If x²+ 7x + 8 = 0, then find the value of $\frac{4x}{x^2 - 5x + 8}$ .

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $\frac{-1}{3}$ .

x²+ 7x + 8 = 0

⇒ x²= - 7x - 8

Now, 4x/(x² - 5x + 8) = 4x/(-7x - 8 - 5x + 8)

⇒ 4x/(- 12x)

⇒ - 1/3

Therefore, the required value is -1/3.

SSC CGL 2024 PYQ — Question 66