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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

The expression 1 x+2 x-1 + 1 x-2 x-1 simplifies to :

The expression

\frac{1}{\sqrt{x+2\sqrt{x-1}}} + \frac{1}{\sqrt{x-2\sqrt{x-1}}}

simplifies to :

Options

A $\frac{2}{3-x}$ if $1 < x < 2$
B $\frac{2}{2-x}$ if $1 < x < 2$
C $\frac{2\sqrt{x-1}}{x-2}$ if $x > 2$
D $\frac{2\sqrt{x-1}}{x+2}$ if $x > 2$ .

Correct answer

B. $\frac{2}{2-x}$ if $1 < x < 2$

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