Archive
9th of September 2015
Mathematics
Q:

if x=(3plus 3 to the power of 1 divided by 3 end exponentplus 3 to the power of 2 divided by 3 end exponent)

then find the value ofx cubednegative 9 x squaredplus 18 xnegative 12

Apurva Kanekar - CBSE - Class X

Wednesday, September 09, 2015 at 18:30:PM

A:

G i v e n space t h a t space x equals 3 plus 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent rightwards double arrow open parentheses x minus 3 close parentheses equals 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent C u b i n g space b o t h space t h e space s i d e s space o f space t h e space e q u a t i o n comma space w e space h a v e comma rightwards double arrow open parentheses x minus 3 close parentheses cubed equals open parentheses 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent close parentheses cubed rightwards double arrow x cubed minus 9 x squared plus 27 x minus 27 equals open parentheses 3 to the power of 1 third end exponent close parentheses cubed plus 3 cross times 3 to the power of 1 third end exponent cross times 3 to the power of 2 over 3 end exponent open parentheses 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent close parentheses plus open parentheses 3 to the power of 2 over 3 end exponent close parentheses cubed rightwards double arrow x cubed minus 9 x squared plus 27 x minus 27 equals 3 plus 9 open parentheses 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent close parentheses plus 3 squared rightwards double arrow x cubed minus 9 x squared plus 18 x plus 9 x minus 12 equals 9 open parentheses 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent close parentheses plus 27 rightwards double arrow x cubed minus 9 x squared plus 18 x minus 12 equals 9 open parentheses 3 to the power of 1 third end exponent plus 3 to the power of 2 over 3 end exponent close parentheses plus 27 minus 9 x

Wednesday, September 09, 2015 at 19:01:PM