First slide

Theory of equations

Question

The values of P for which the difference between the roots of the equation $x^{2} + P x + 8 = 0$ is 2 are

Easy

A

$\pm 2$
B

$\pm 4$
C

$\pm 6$
D

$\pm 8$

Solution

$α - β = \frac{\sqrt{b^{2} - 4 a c}}{| a |} = 2 \Rightarrow \sqrt{P^{2} - 32} = 2$
$\Rightarrow P^{2} = 36 \Rightarrow P= \pm 6$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App