What are the solutions to the equation 8x=x^4 ?

The solutions to the equation 8x=x^4 are x=0,x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i

Find the zeros of 8x=x^4

The zeros of 8x=x^4 are x=0,x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i

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8 x = x^{4}

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Solution steps

8 x = x^{4}

Switch sides

x^{4} = 8 x

Move

8 x

to the left side

x^{4} - 8 x = 0

Factor

x^{4} - 8 x : x (x^{3} - 8)

x (x^{3} - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} - 8 = 0

Solve

x^{3} - 8 = 0 : x = 2, x = - 1 + 3 i, x = - 1 - 3 i

The solutions are

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

b^{3} = 343

s^{3} + 6 s^{2} + 12 s + 8 = 0

0 = m^{3} + 6 m^{2} + 9 m

27 y^{3} - 27 y^{2} + 9 y - 1 = 0

x^{5} + 2 x^{3} + x - 1 = 3

What are the solutions to the equation 8x=x^4 ?
The solutions to the equation 8x=x^4 are x=0,x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i
Find the zeros of 8x=x^4
The zeros of 8x=x^4 are x=0,x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i