First slide

Theory of equations

Question

If a root of the equation $x^{2} + px + 12 = 0$ is 4, while the roots of the equation $x^{2} + px + q = 0$ are same, then the value of q will be

Moderate

A

4
B

4/49
C

49/4
D

None of these

Solution

Put x=4 in $x^{2} + px + 12 = 0$ , we get $p = - 7$
Now second equation $x^{2} + px + q = 0$ have equal roots. Therefore $p^{2} = 4 q \Rightarrow q = \frac{49}{4}$

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