Solve
x to the power of 4 plus x cubed plus x squared plus x plus 1 equals 0

Asked by yashbbelkhedkar1 | 2nd Oct, 2014, 07:28: PM

Expert Answer:

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 : x to the power of 4 plus x cubed plus x squared plus x plus 1 equals 0 rightwards double arrow fraction numerator minus 1 over denominator 4 end fraction open square brackets minus 4 x to the power of 4 minus 4 x cubed minus 4 x squared minus 4 x minus 4 close square brackets equals 0 rightwards double arrow fraction numerator minus 1 over denominator 4 end fraction cross times open square brackets minus 2 x squared plus open parentheses square root of 5 minus 1 close parentheses x minus 2 close square brackets cross times open square brackets 2 x squared plus open parentheses square root of 5 plus 1 close parentheses x plus 2 close square brackets equals 0 S o l v i n g space t h e space a b o v e space t w o space q u a d r a t i c space e q u a t i o n s space w e space h a v e rightwards double arrow x equals minus open parentheses minus 1 close parentheses to the power of 1 fifth end exponent ; space x equals open parentheses minus 1 close parentheses to the power of 2 over 5 end exponent ; space x equals minus open parentheses minus 1 close parentheses to the power of 3 over 5 end exponent ; x equals open parentheses minus 1 close parentheses to the power of 4 over 5 end exponent comma space w h e r e space square root of minus 1 end root equals i  S o l v i n g space a space b i q u a d r a t i c space e q u a t i o n space i s space n o t space t h e r e space i n space y o u r space c u r r i c u l u m comma space b u t space w e space h a v e space p r o v i d e d space t h e space s o l u t i o n comma space t o a p p r e c i a t e space y o u r space i n t e r e s t.

Answered by Vimala Ramamurthy | 4th Oct, 2014, 11:40: AM