First slide

Theory of equations

Question

The roots of the equation $\log_{2} (x^{2} - 4 x + 5) = (x - 2)$ are

Moderate

A

$4, 5$
B

$2, - 3$
C

$2, 3$
D

$3, 5$

Solution

We have ,
$\log_{2} (x^{2} - 4 x + 5) = (x - 2) \Rightarrow x^{2} - 4 x + 5 = 2^{x - 2}$
Clearly, $x = 2$ and $3$ satisfy this equation.

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