What are the solutions to the equation 2x^3+(-7)x^2+6x+5=0 ?

The solutions to the equation 2x^3+(-7)x^2+6x+5=0 are x=-1/2 ,x=2+i,x=2-i

Find the zeros of 2x^3+(-7)x^2+6x+5=0

The zeros of 2x^3+(-7)x^2+6x+5=0 are x=-1/2 ,x=2+i,x=2-i

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2 x^{3} + (- 7) x^{2} + 6 x + 5 = 0

x = - \frac{1}{2}, x = 2 + i, x = 2 - i

Solution steps

2 x^{3} + (- 7) x^{2} + 6 x + 5 = 0

Refine

2 x^{3} - 7 x^{2} + 6 x + 5 = 0

Factor

2 x^{3} - 7 x^{2} + 6 x + 5 : (2 x + 1) (x^{2} - 4 x + 5)

(2 x + 1) (x^{2} - 4 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 1 = 0 or x^{2} - 4 x + 5 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

x^{2} - 4 x + 5 = 0 : x = 2 + i, x = 2 - i

The solutions are

x = - \frac{1}{2}, x = 2 + i, x = 2 - i

b^{3} = 1331

x^{3} - 3.0909 x + 2.0909

- 4 a^{3} + 12 a^{2} - 12 a + \frac{7}{2}

12 x^{3} + 24 x^{2} - 36 x = 0

y, x^{3} + 4 x y^{2} - 27 = y^{4}

What are the solutions to the equation 2x^3+(-7)x^2+6x+5=0 ?
The solutions to the equation 2x^3+(-7)x^2+6x+5=0 are x=-1/2 ,x=2+i,x=2-i
Find the zeros of 2x^3+(-7)x^2+6x+5=0
The zeros of 2x^3+(-7)x^2+6x+5=0 are x=-1/2 ,x=2+i,x=2-i