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CBSE Class 9 Answered

Find x and y How?
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Asked by arunkumarsingh3055 | 20 Feb, 2019, 08:28: AM
answered-by-expert Expert Answer
begin mathsize 12px style open parentheses square root of x space plus space square root of y space close parentheses squared space equals space 25 space x plus y plus 2 square root of x y end root space equals space 25 13 plus 2 square root of x y end root space equals space 25 space space space o r space square root of x y end root space equals space 6 space space space space o r space x y space equals space 36 open parentheses x plus y close parentheses squared minus 4 x y space equals space left parenthesis x minus y right parenthesis squared h e n c e space left parenthesis x minus y right parenthesis squared space equals space 169 minus 144 space equals space 25 space space space o r space left parenthesis x minus y right parenthesis space equals space plus-or-minus 5 end style
 
if we solve ,   (x+y) =13   and (x-y) = 5,   we get  x =  9  and y = 4
 
if we solve ,   (x+y) =13   and (x-y) = -5,   we get  x =  4  and y = 9
Answered by Thiyagarajan K | 20 Feb, 2019, 09:49: AM

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