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Examveda

If $$\sqrt {\left( {x - 1} \right)\left( {y + 2} \right)} = 7,$$     x and y being positive whole numbers, then the values of x and y respectively are ?

A. 8, 5

B. 15, 12

C. 22, 19

D. None of these

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \Leftrightarrow \sqrt {\left( {x - 1} \right)\left( {y + 2} \right)} = 7 \cr & \Leftrightarrow \left( {x - 1} \right)\left( {y + 2} \right) = {\left( 7 \right)^2} \cr & \Leftrightarrow \left( {x - 1} \right) = 7{\text{ and}}\left( {y + 2} \right) = 7 \cr & \Leftrightarrow x = 8{\text{ and }}y = 5 \cr} $$

This Question Belongs to Arithmetic Ability >> Square Root And Cube Root

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