First slide

Theory of equations

Question

The number of roots of the equation $\sqrt{x - 2} (x^{2} - 4 x + 3) = 0$ is

Moderate

A

three
B

four
C

one
D

two

Solution

$\sqrt{x - 2} (x^{2} - 4 x + 3) = 0 x = 2, (x^{2} - 4 x + 3) = 0 \Rightarrow x = 2 o r (x - 1) (x - 3) = 0 x = 1 i s n o t s a t i s f y i n g t h e e q u a t i o n x = 2, 3$

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