A-R-A-x-2-x-3-4-2x-x-1-faind-A-

Question Number 171043 by mathlove last updated on 06/Jun/22

A \in R

A = \frac{\sqrt{x - 2} + x + 3}{\sqrt{4 - 2 x} + x - 1} f a i n d A = ?

Answered by MJS_new last updated on 07/Jun/22

\sqrt{x - 2} \in R \Rightarrow x ⩾ 2

\sqrt{4 - 2 x} = \sqrt{2} \sqrt{2 - x} \in R \Rightarrow x ⩽ 2

\Rightarrow x = 2

\Rightarrow A = 5

Commented by Rasheed.Sindhi last updated on 07/Jun/22

G reat sir!

Commented by MJS_new last updated on 07/Jun/22

there are solutions with x \notin R \land A \in R

simply set A \in R and solve for x \in C

A = 5 \Rightarrow x = 2 \lor x = - \frac{17}{16} \pm \frac{5 \sqrt{2}}{8} i

Commented by mathlove last updated on 08/Jun/22

t h a n k s