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CBSE Class 10 Answered

(2x+6)^1/2+(x+1)^1/2=2
Asked by Renuchaya.rc | 04 Feb, 2019, 08:36: PM
answered-by-expert Expert Answer
begin mathsize 12px style square root of 2 x plus 6 end root space plus space square root of x plus 1 end root space equals space 2 space............ left parenthesis 1 right parenthesis B y space s q u a r i n g space o n space b o t h space s i d e s comma space 2 x plus 6 plus x plus 1 plus 2 square root of open parentheses 2 x plus 6 close parentheses open parentheses x plus 1 close parentheses end root space equals space 4 2 square root of open parentheses 2 x plus 6 close parentheses open parentheses x plus 1 close parentheses end root space equals space minus 3 open parentheses x plus 1 close parentheses 4 open parentheses 2 x plus 6 close parentheses open parentheses x plus 1 close parentheses space equals space 9 open parentheses x plus 1 close parentheses squared 4 open square brackets 2 x squared plus 8 x plus 6 close square brackets space equals space 9 open parentheses x squared plus 2 x plus 1 close parentheses x squared minus 14 x minus 15 space equals space 0 open parentheses x minus 15 close parentheses open parentheses x plus 1 close parentheses equals 0 h e n c e comma space space x equals 15 space o r space x equals negative 1 I f space w e space s u b s t i t u t e comma space x space equals space 15 space i n space e q n. left parenthesis 1 right parenthesis comma space w e space f o u n d space i t space i s space n o t space v a l i d I f space w e space s u b s t i t u t e comma space x space equals space minus 1 space i n space e q n. left parenthesis 1 right parenthesis comma space w e space f o u n d space i t space i s space space v a l i d space h e n c e space s o l u t i o n space o f space e q n. left parenthesis 1 right parenthesis space i s space x space equals space minus 1 end style
Answered by Thiyagarajan K | 05 Feb, 2019, 04:51: PM

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