What are the solutions to the equation 3x^3-4x^2+75x-100=0 ?

The solutions to the equation 3x^3-4x^2+75x-100=0 are x= 4/3 ,x=5i,x=-5i

Find the zeros of 3x^3-4x^2+75x-100=0

The zeros of 3x^3-4x^2+75x-100=0 are x= 4/3 ,x=5i,x=-5i

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3 x^{3} - 4 x^{2} + 75 x - 100 = 0

x = \frac{4}{3}, x = 5 i, x = - 5 i

Solution steps

3 x^{3} - 4 x^{2} + 75 x - 100 = 0

Factor

3 x^{3} - 4 x^{2} + 75 x - 100 : (3 x - 4) (x^{2} + 25)

(3 x - 4) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 4 = 0 or x^{2} + 25 = 0

Solve

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

Solve

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

The solutions are

x = \frac{4}{3}, x = 5 i, x = - 5 i

x^{4} + x - 1 = 0

5 x (x^{2} - 2) = 10 x (x - 1)

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

n^{4} + 15 = 38

x^{3} + 6 x^{2} + 13 x = 0

What are the solutions to the equation 3x^3-4x^2+75x-100=0 ?
The solutions to the equation 3x^3-4x^2+75x-100=0 are x= 4/3 ,x=5i,x=-5i
Find the zeros of 3x^3-4x^2+75x-100=0
The zeros of 3x^3-4x^2+75x-100=0 are x= 4/3 ,x=5i,x=-5i