What are the solutions to the equation 2x+4=x^3 ?

The solutions to the equation 2x+4=x^3 are x=2,x=-1+i,x=-1-i

Find the zeros of 2x+4=x^3

The zeros of 2x+4=x^3 are x=2,x=-1+i,x=-1-i

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2 x + 4 = x^{3}

x = 2, x = - 1 + i, x = - 1 - i

Solution steps

2 x + 4 = x^{3}

Switch sides

x^{3} = 2 x + 4

Move

4

to the left side

x^{3} - 4 = 2 x

Move

2 x

to the left side

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

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

The solutions are

x = 2, x = - 1 + i, x = - 1 - i

x^{4} - 10 x^{2} + 9

- 4 x^{4} + 3 x^{2} - 2 x + 6 = 0

x^{3} + x^{2} - 6 x + 3 = 0

x^{3} + 11 x^{2} + 34 x + 24 = 0

4 s^{3} + 14 s^{2} + 7 s + 6 = 0

What are the solutions to the equation 2x+4=x^3 ?
The solutions to the equation 2x+4=x^3 are x=2,x=-1+i,x=-1-i
Find the zeros of 2x+4=x^3
The zeros of 2x+4=x^3 are x=2,x=-1+i,x=-1-i