What are the solutions to the equation 2x^4-x^3-3x-18=0 ?

The solutions to the equation 2x^4-x^3-3x-18=0 are x=2,x=-3/2 ,x=sqrt(3)i,x=-sqrt(3)i

Find the zeros of 2x^4-x^3-3x-18=0

The zeros of 2x^4-x^3-3x-18=0 are x=2,x=-3/2 ,x=sqrt(3)i,x=-sqrt(3)i

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2 x^{4} - x^{3} - 3 x - 18 = 0

x = 2, x = - \frac{3}{2}, x = 3 i, x = - 3 i

Solution steps

2 x^{4} - x^{3} - 3 x - 18 = 0

Factor

2 x^{4} - x^{3} - 3 x - 18 : (x - 2) (2 x + 3) (x^{2} + 3)

(x - 2) (2 x + 3) (x^{2} + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

x^{2} + 3 = 0 : x = 3 i, x = - 3 i

The solutions are

x = 2, x = - \frac{3}{2}, x = 3 i, x = - 3 i

x^{13} + x + 90 = 0

x^{5} - 5 x^{3} - 36 x = 0

x^{3} - x^{2} - 15 x - 25 = 0

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3

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

What are the solutions to the equation 2x^4-x^3-3x-18=0 ?
The solutions to the equation 2x^4-x^3-3x-18=0 are x=2,x=-3/2 ,x=sqrt(3)i,x=-sqrt(3)i
Find the zeros of 2x^4-x^3-3x-18=0
The zeros of 2x^4-x^3-3x-18=0 are x=2,x=-3/2 ,x=sqrt(3)i,x=-sqrt(3)i