What are the solutions to the equation 3x^3+7x^2+75x+175=0 ?

The solutions to the equation 3x^3+7x^2+75x+175=0 are x=-7/3 ,x=5i,x=-5i

Find the zeros of 3x^3+7x^2+75x+175=0

The zeros of 3x^3+7x^2+75x+175=0 are x=-7/3 ,x=5i,x=-5i

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3 x^{3} + 7 x^{2} + 75 x + 175 = 0

x = - \frac{7}{3}, x = 5 i, x = - 5 i

Solution steps

3 x^{3} + 7 x^{2} + 75 x + 175 = 0

Factor

3 x^{3} + 7 x^{2} + 75 x + 175 : (3 x + 7) (x^{2} + 25)

(3 x + 7) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 7 = 0 or x^{2} + 25 = 0

Solve

3 x + 7 = 0 : x = - \frac{7}{3}

Solve

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

The solutions are

x = - \frac{7}{3}, x = 5 i, x = - 5 i

9 x^{3} - 15 x^{2} + 4 x = 0

x^{3} + 11 x^{2} + 15 x - 27 = 0

(x - 1)^{3} - 8 = 0

x^{5} - 4 x^{3} - x^{2} + 4 = 0

y^{8} + 5 = - 3

What are the solutions to the equation 3x^3+7x^2+75x+175=0 ?
The solutions to the equation 3x^3+7x^2+75x+175=0 are x=-7/3 ,x=5i,x=-5i
Find the zeros of 3x^3+7x^2+75x+175=0
The zeros of 3x^3+7x^2+75x+175=0 are x=-7/3 ,x=5i,x=-5i