Question

Find all the roots of the polynomial equation x^3-2x^2+5x-10=0

Answer 1

Step-by-step explanation:

x^3+x^2+4x+4=0

x³+x²+4x=-4

x(x²+x+4)=-4

either

x=-4

or

x²+x+4=-4

x²+x+4+4=0

x²+x+8=0

comparing with ax² +bx+c

a=1

b=1

c=8

x={-1±√{1²-4×1×8}}/2×1

x={-1±√{-31}}/2

Answer 2

x³ - 2x² + 5x - 10 = 0

x²(x - 2) + 5(x - 2) = 0

(x² + 5)(x - 2) = 0

x² = - 5 , x = 2.

x² = -√5 , 2.