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

The solutions to the equation 2x^3-10x^2-2x+10=0 are x=5,x=-1,x=1

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

The zeros of 2x^3-10x^2-2x+10=0 are x=5,x=-1,x=1

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

x = 5, x = - 1, x = 1

Solution steps

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

Factor

2 x^{3} - 10 x^{2} - 2 x + 10 : 2 (x - 5) (x + 1) (x - 1)

2 (x - 5) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x + 1 = 0 or x - 1 = 0

Solve

x - 5 = 0 : x = 5

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 5, x = - 1, x = 1

r^{3} + r^{2} - 2 = 0

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

5 x^{3} = 405 x

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

x^{3} - 9 x^{2} + 27 x - 27

What are the solutions to the equation 2x^3-10x^2-2x+10=0 ?
The solutions to the equation 2x^3-10x^2-2x+10=0 are x=5,x=-1,x=1
Find the zeros of 2x^3-10x^2-2x+10=0
The zeros of 2x^3-10x^2-2x+10=0 are x=5,x=-1,x=1