Find the value of x:
(1) 4sqrt (3x^2)+5x-2sqrt (3)=0
(2) 4^2-2 (a^2+b^2)x +a^2×b^2=0

Asked by nitinkumarsingh.singh.75 | 18th Jul, 2015, 11:15: PM

Expert Answer:

1. P l e a s e space c h e c k space t h e space q u e s t i o n colon Q u a d r a t i c space s h o u l d space b e colon space 4 square root of 3 x squared plus 5 x minus 2 square root of 3 equals 0 space 4 square root of 3 x squared plus 8 x minus 3 x minus 2 square root of 3 equals 0 T h u s comma space w e space h a v e comma 4 x open parentheses square root of 3 x plus 2 close parentheses minus square root of 3 open parentheses square root of 3 x plus 2 close parentheses equals 0 rightwards double arrow open parentheses 4 x minus square root of 3 close parentheses open parentheses square root of 3 x plus 2 close parentheses equals 0 rightwards double arrow 4 x minus square root of 3 equals 0 space o r space square root of 3 x plus 2 equals 0 rightwards double arrow x equals fraction numerator square root of 3 over denominator 4 end fraction space o r space x equals fraction numerator negative 2 over denominator square root of 3 end fraction
2. C o n s i d e r space t h e space g i v e n space e q u a t i o n colon 4 squared minus 2 open parentheses a squared plus b squared close parentheses x plus a squared b squared equals 0 R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma 16 minus 2 open parentheses a squared plus b squared close parentheses x plus a squared b squared equals 0 rightwards double arrow 16 plus a squared b squared equals 2 open parentheses a squared plus b squared close parentheses x rightwards double arrow 2 open parentheses a squared plus b squared close parentheses x equals 16 plus a squared b squared rightwards double arrow x equals fraction numerator 16 plus a squared b squared over denominator 2 open parentheses a squared plus b squared close parentheses end fraction

Answered by Vimala Ramamurthy | 19th Jul, 2015, 09:44: AM

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