What are the solutions to the equation 3x^5-4x^4-243x+324=0 ?

The solutions to the equation 3x^5-4x^4-243x+324=0 are x= 4/3 ,x=3i,x=-3i,x=-3,x=3

Find the zeros of 3x^5-4x^4-243x+324=0

The zeros of 3x^5-4x^4-243x+324=0 are x= 4/3 ,x=3i,x=-3i,x=-3,x=3

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3 x^{5} - 4 x^{4} - 243 x + 324 = 0

x = \frac{4}{3}, x = 3 i, x = - 3 i, x = - 3, x = 3

Solution steps

3 x^{5} - 4 x^{4} - 243 x + 324 = 0

Factor

3 x^{5} - 4 x^{4} - 243 x + 324 : (3 x - 4) (x^{2} + 9) (x + 3) (x - 3)

(3 x - 4) (x^{2} + 9) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 4 = 0 or x^{2} + 9 = 0 or x + 3 = 0 or x - 3 = 0

Solve

3 x - 4 = 0 : x = \frac{4}{3}

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = \frac{4}{3}, x = 3 i, x = - 3 i, x = - 3, x = 3

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

3 x^{3} = 7 x^{2} + 6 x

3 x^{4} - 24 x^{3} + 4 x^{2} - 29 x - 67 = 0

x^{3} + 2 x + 1

x^{3} + 2 x + 2

What are the solutions to the equation 3x^5-4x^4-243x+324=0 ?
The solutions to the equation 3x^5-4x^4-243x+324=0 are x= 4/3 ,x=3i,x=-3i,x=-3,x=3
Find the zeros of 3x^5-4x^4-243x+324=0
The zeros of 3x^5-4x^4-243x+324=0 are x= 4/3 ,x=3i,x=-3i,x=-3,x=3