What are the solutions to the equation 5x^3-9x^2+28x+6=0 ?

The solutions to the equation 5x^3-9x^2+28x+6=0 are x=-1/5 ,x=1+sqrt(5)i,x=1-sqrt(5)i

Find the zeros of 5x^3-9x^2+28x+6=0

The zeros of 5x^3-9x^2+28x+6=0 are x=-1/5 ,x=1+sqrt(5)i,x=1-sqrt(5)i

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5 x^{3} - 9 x^{2} + 28 x + 6 = 0

x = - \frac{1}{5}, x = 1 + 5 i, x = 1 - 5 i

Solution steps

5 x^{3} - 9 x^{2} + 28 x + 6 = 0

Factor

5 x^{3} - 9 x^{2} + 28 x + 6 : (5 x + 1) (x^{2} - 2 x + 6)

(5 x + 1) (x^{2} - 2 x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x + 1 = 0 or x^{2} - 2 x + 6 = 0

Solve

5 x + 1 = 0 : x = - \frac{1}{5}

Solve

x^{2} - 2 x + 6 = 0 : x = 1 + 5 i, x = 1 - 5 i

The solutions are

x = - \frac{1}{5}, x = 1 + 5 i, x = 1 - 5 i

x^{3} + 2 x^{2} - 3 x - 6

y, 8 y^{3} - 1 = 0

y^{3} - 27 = 0

x^{3} + 5 x^{2} + 4 x + 20 = 0

- 2 x^{8} + 3 x^{6} + x^{4} - 57 x^{2} - 40 = 0

What are the solutions to the equation 5x^3-9x^2+28x+6=0 ?
The solutions to the equation 5x^3-9x^2+28x+6=0 are x=-1/5 ,x=1+sqrt(5)i,x=1-sqrt(5)i
Find the zeros of 5x^3-9x^2+28x+6=0
The zeros of 5x^3-9x^2+28x+6=0 are x=-1/5 ,x=1+sqrt(5)i,x=1-sqrt(5)i