What are the solutions to the equation x^3-2x^2+5x-10=0 ?

The solutions to the equation x^3-2x^2+5x-10=0 are x=2,x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of x^3-2x^2+5x-10=0

The zeros of x^3-2x^2+5x-10=0 are x=2,x=sqrt(5)i,x=-sqrt(5)i

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x^{3} - 2 x^{2} + 5 x - 10 = 0

x = 2, x = 5 i, x = - 5 i

Solution steps

x^{3} - 2 x^{2} + 5 x - 10 = 0

Factor

x^{3} - 2 x^{2} + 5 x - 10 : (x - 2) (x^{2} + 5)

(x - 2) (x^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 5 = 0 : x = 5 i, x = - 5 i

The solutions are

x = 2, x = 5 i, x = - 5 i

x^{3} + 3 x^{2} = 81 x + 243

12 x^{3} - 30 x^{2} - 24 x + 10 = 0

6 (x + 8)^{5} = 64

2 x (2 x + 9) (16 x^{2} - 9) = 0

x^{4} + x^{3} - x^{2} - x = 0

What are the solutions to the equation x^3-2x^2+5x-10=0 ?
The solutions to the equation x^3-2x^2+5x-10=0 are x=2,x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of x^3-2x^2+5x-10=0
The zeros of x^3-2x^2+5x-10=0 are x=2,x=sqrt(5)i,x=-sqrt(5)i