CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

(x±a)(x±b) = x²±(a+b)x+ab.

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{2} - 3 x + 24}{x^{2} - 3 x + 3} < 4$

Open in App

Solution

$\frac{x^{2} - 3 x + 24}{x^{2} - 3 x + 3} < 4$
$x^{2} - 3 x + 24 < 4 x^{2} - 12 x + 12$
$3 x^{2} - 9 x - 12 > 0$
$x^{2} - 3 x - 4 > 0$
$(x - 4) (x + 1) > 0$
$x ϵ (- \infty, - 1) \cup (4, \infty)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following inequality:

| x^{2} - 2 x - 3 | < 3 x - 3

Q. Solve the following inequality:

\frac{x^{2} - 9}{3 x - x^{2} - 24} < 0

Q. Solve the following inequality:

(x^{2} + 3 x + 1) (x^{2} + 3 x - 3) ⩾ 5

Q. Solve the following inequality:

∣ ∣ ∣ \frac{3 x}{x^{2} - 4} ∣ ∣ ∣ ⩽ 1

Q. Solve the following inequality:

\sqrt{3 x - x^{2}} < 4 - x .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

(x+a)(x+b)

MATHEMATICS

Watch in App

explore_more_icon

Explore more

(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon