CameraIcon

SearchIcon

MyQuestionIcon

1

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

Quantitative Aptitude

Solving Inequalities

Solve: 5 x-6+...

Question

Solve: $\frac{(5 x - 6 + x^{2})}{(x - 1)}$

Open in App

Solution

The expression is $\frac{(5 x - 6 + x^{2})}{(x - 1)}$
Take the numerator and factorise it:
$x^{2} + 5 x - 6 = x^{2} + 6 x - x - 6 = x (x + 6) - 1 (x + 6) = (x + 6) (x - 1)$
So, the expression becomes $= \frac{(x + 6) (x - 1)}{(x - 1)}$
$= x + 6$

Suggest Corrections

thumbs-up

0

Similar questions

x : ∣ ∣ ∣ \frac{x^{2} + 6}{5 x} ∣ ∣ ∣ \geq 1

\frac{x^{2} - (x + 1) (x + 2)}{5 x + 1} = 6

Q. Solve the following inequation:

\frac{x^{2} - 5 x + 6}{x^{2} + x + 1} < 0

Q. Solve the following inequality:

\frac{x^{2} - 5 x + 6}{x^{2} + x + 1} < 0

Q. Solve the following system of inequality:

| x^{2} + 5 x | < 6, | x + 1 | ⩽ 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Inequations II

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Solving Inequalities

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon