MyQuestionIcon

1

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

Discriminant

Linear and Qu...

Question

Linear and Quadralic Equations and Inequalities.
Solve the following inequalities.
$9 x - 14 - x^{2} > 0.$

Open in App

Solution

$9 x - 14 - x^{2} > 0$
$⟹ - (x^{2} - 9 x + 14) > 0$

$⟹ x^{2} - 9 x + 14 < 0$

$⟹ (x - 2) (x - 7) < 0$

$⟹ 2 < x < 7$ that is $x \in (2, 7)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Linear and Quadralic Equations and Inequalities.
Solve the following inequalities.

x^{2} - 5 | x | + 4 < 0.

Q. Linear and Quadralic Equations and Inequalities.
Solve the following inequalities.

2 x^{2} - 5 | x | + 3 ⩾ 0.

Q. Linear and Quadralic Equations and Inequalities.
Prove that if

a x^{2} + b x + c ϵ Z f o r a l l x ϵ Z t h e n a, b, c, ϵ Z .

Q. Linear and Quadralic Equations and Inequalities.
Prove that the roots of the quadratic equations

a x^{2} + b x + c = 0 a n d c x^{2} + b x + a = 0

are mutually inverse.

Q. Solve the following inequality:

\frac{x^{2} - 36}{x^{2} - 9 x + 18} < 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Nature of Roots

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon