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

The solutions to the equation 0=2x^3-10x^2+x-5 are x=5,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i

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

The zeros of 0=2x^3-10x^2+x-5 are x=5,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i

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

x = 5, x = \frac{1}{2} i, x = - \frac{1}{2} i

Solution steps

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

Switch sides

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

Factor

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

(x - 5) (2 x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or 2 x^{2} + 1 = 0

Solve

x - 5 = 0 : x = 5

Solve

2 x^{2} + 1 = 0 : x = \frac{1}{2} i, x = - \frac{1}{2} i

The solutions are

x = 5, x = \frac{1}{2} i, x = - \frac{1}{2} i

1200 = 1000 (1 + x)^{20}

x (x + 5) (x + 7) = 0

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

x^{6} + 2 = 0

19 - 8 y^{6} = 5 y

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