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Question

The equation $\frac{(x + 2) (x - 5)}{(x - 3) (x + 6)}$ = $\frac{x - 2}{x + 4}$ has
$3$ roots
$2$ roots
$1$ root
No root

A

3

roots

B

No root

C

2

roots

D

1

root

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Solution

Verified by Toppr

The correct option is C $1$ root
Given equation:
$\frac{(x + 2) (x - 5)}{(x - 3) (x + 6)} = \frac{x - 2}{x + 4}$

$\Rightarrow (x + 2) (x - 5) (x + 4) - (x - 2) (x - 3) (x + 6)$

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