Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

Back to Main Page

Multiple Choice Questions

If x 1 x 1 than x50 x51 x52 x53 x54 x55 ........

Quantitative Aptitude (CCS) Algebra

Download Solution PDF

If x + 1/x = 1 than x⁵⁰ + x⁵¹ + x⁵² + x⁵³ + x⁵⁴ + x⁵⁵ = ?

छोटे Courses बड़े Results

Master Algebra

Prepare through Micro-courses

Try Now

Explanation:

x + 1/x = 1
x² – x + 1 = 0
x³ + 1 = 0
x³ = – 1
x⁵⁰ + x⁵¹ + x⁵² + x⁵³ + x⁵⁴ + x⁵⁵
= x⁵⁰ + x⁵¹ + x⁵² + x⁵³ + x⁵⁴ + x⁵⁵
= x⁵⁰ + x³ . x⁵⁰ + x⁵¹ + x³ . x⁵¹ + x⁵² + x³. x⁵²
= x⁵⁰ – x⁵⁰ + x⁵¹ – x⁵¹ + x⁵² – x⁵²
= 0