What are the solutions to the equation x^3-4x^2-3x-10=0 ?

The solutions to the equation x^3-4x^2-3x-10=0 are x=5,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

Find the zeros of x^3-4x^2-3x-10=0

The zeros of x^3-4x^2-3x-10=0 are x=5,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

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

x = 5, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Solution steps

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

Factor

x^{3} - 4 x^{2} - 3 x - 10 : (x - 5) (x^{2} + x + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + x + 2 = 0 : x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

The solutions are

x = 5, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

- x^{4} + 2 x^{2} + 8 = 0

x^{4} - 18 x^{3} + 103 x^{2} + 214 x + 192 = 0

x, x^{5} + y^{4} = 500

h, [h^{3} o] = 1.1 \cdot 1 0^{- 1} 3

x^{3} = - 216

What are the solutions to the equation x^3-4x^2-3x-10=0 ?
The solutions to the equation x^3-4x^2-3x-10=0 are x=5,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2
Find the zeros of x^3-4x^2-3x-10=0
The zeros of x^3-4x^2-3x-10=0 are x=5,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2