solve for x :

a) 2x^1/2+1/3-x^1/2=11-3x^1/2/5x^1/2-9 , b)  (x+1)(x+2)(x-3)(x-4) =  336
 
and
 
c) (x+1)^1/2 + (2x-5)^1/2 = 3                    d)2^2x +2^x+2 - 32 = 0

Asked by Sanjay | 17th May, 2015, 12:02: AM

Expert Answer:

left parenthesis d right parenthesis space 2 to the power of 2 x end exponent plus 2 to the power of x plus 2 end exponent minus 32 equals 0 rightwards double arrow open parentheses 2 to the power of x close parentheses squared plus 2 to the power of x plus 2 end exponent minus 32 equals 0 rightwards double arrow open parentheses 2 to the power of x close parentheses squared plus 2 to the power of x.2 squared minus 32 equals 0 rightwards double arrow open parentheses 2 to the power of x close parentheses squared plus 4.2 to the power of x minus 32 equals 0 L e t space 2 to the power of x equals a rightwards double arrow a squared plus 4 a minus 32 equals 0 rightwards double arrow a squared plus 8 a minus 4 a minus 32 equals 0 rightwards double arrow a left parenthesis a plus 8 right parenthesis minus 4 left parenthesis a plus 8 right parenthesis equals 0 rightwards double arrow left parenthesis a plus 8 right parenthesis left parenthesis a minus 4 right parenthesis equals 0 therefore a equals negative 8 space left square bracket N o t space a c c e p t a b l e right square bracket A l s o comma a equals 4 2 to the power of x equals 4 2 to the power of x equals 2 squared x equals 2  P l e a s e space p o s t space e a c h space q u e s t i o n space s e p a r a t e l y space a n d space c l e a r l y. space P l e a s e space u s e space t h e space m a t h space e d i t o r space w h i l e space t y p i n g space t h e q u e s t i o n s

Answered by Prasenjit Paul | 18th May, 2015, 12:26: PM

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