MyQuestionIcon

1

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

Addition and Subtraction of Algebraic Expression

Solve: x2-3...

Question

Solve: $\frac{x^{2} - 3 x - 1}{x^{2} + x + 1} < 1$

Open in App

Solution

$\frac{x^{2} - 3 x - 1}{x^{2} + x + 1} < 1$
$x^{2} - 3 x - 1 < 1 (x^{2} + x + 1)$
$x^{2} - 3 x - 1 < x^{2} + x + 1$
$x^{2} - 3 x - 1 - x^{2} - x - 1 < 0$
$- 3 x - x - 2 < 0$
$- 4 x - 2 > 0$
$4 x + 2 > 0$
$4 x > - 2$
$x > - \frac{1}{2}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following equations:

\frac{x + \sqrt{x^{2} - 1}}{x - \sqrt{x^{2} - 1}} - \frac{x - \sqrt{x^{2} - 1}}{x + \sqrt{x^{2} - 1}} = 8 x \sqrt{x^{2} - 3 x + 2}

Q. Solve the following inequality:

∣ ∣ ∣ \frac{x^{2} - 3 x - 1}{x^{2} + x + 1} ∣ ∣ ∣ < 3

Q. Solve an equation:

(x^{2} + \frac{1}{x^{2}}) - 3 (x - \frac{1}{x}) - 2 = 0

\frac{1}{3} \int \frac{x - 1}{x^{2} + x + 1} d x

x

x^{2} + 3 x + 1 = (x - 2)^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Addition and Subtraction of Algebraic Expression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon