First slide

Theory of equations

Question

Product of roots of the equation
$x - \sqrt{3 x - 6} = 2$ is

Moderate

A

2
B

5
C

7
D

10

Solution

Note that $x \geq 2$ and
$\begin{array}{l} \Rightarrow x - 2 = \sqrt{3 x - 6} \Rightarrow x^{2} - 4 x + 4 = 3 x - 6 \\ \Rightarrow x^{2} - 7 x + 10 = 0 \Rightarrow x = 2, 5 \end{array}$
Both of these satisfy the given 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