What are the solutions to the equation 3x^3+5x^2+75x+125=0 ?

The solutions to the equation 3x^3+5x^2+75x+125=0 are x=-5/3 ,x=5i,x=-5i

Find the zeros of 3x^3+5x^2+75x+125=0

The zeros of 3x^3+5x^2+75x+125=0 are x=-5/3 ,x=5i,x=-5i

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3 x^{3} + 5 x^{2} + 75 x + 125 = 0

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

Solution steps

3 x^{3} + 5 x^{2} + 75 x + 125 = 0

Factor

3 x^{3} + 5 x^{2} + 75 x + 125 : (3 x + 5) (x^{2} + 25)

(3 x + 5) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 5 = 0 or x^{2} + 25 = 0

Solve

3 x + 5 = 0 : x = - \frac{5}{3}

Solve

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

The solutions are

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

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

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1 = 0

x^{4} - i \cdot x^{2} + 2 = 0

x^{4} - 4 x^{3} - x^{2} + 14 x + 10 = 0

x^{3} - 5 x - 6 = 0

What are the solutions to the equation 3x^3+5x^2+75x+125=0 ?
The solutions to the equation 3x^3+5x^2+75x+125=0 are x=-5/3 ,x=5i,x=-5i
Find the zeros of 3x^3+5x^2+75x+125=0
The zeros of 3x^3+5x^2+75x+125=0 are x=-5/3 ,x=5i,x=-5i