Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

Question

Linda Harding

Mathematics

29 January, 04:51

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

+2

Answers (1)

Know the Answer?

America Coleman · Answer 1

x = {0; - 1; 2; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰ (x³-2x²-x+2) = 0

x¹⁰ (x+1) (x-2) (x-1) = 0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x = - 1 x = 2 x = 1