What are the solutions to the equation x^3+5x-774=0 ?

The solutions to the equation x^3+5x-774=0 are x=9,x=-9/2+i(sqrt(263))/2 ,x=-9/2-i(sqrt(263))/2

Find the zeros of x^3+5x-774=0

The zeros of x^3+5x-774=0 are x=9,x=-9/2+i(sqrt(263))/2 ,x=-9/2-i(sqrt(263))/2

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x^{3} + 5 x - 774 = 0

x = 9, x = - \frac{9}{2} + i \frac{263}{2}, x = - \frac{9}{2} - i \frac{263}{2}

Solution steps

x^{3} + 5 x - 774 = 0

Factor

x^{3} + 5 x - 774 : (x - 9) (x^{2} + 9 x + 86)

(x - 9) (x^{2} + 9 x + 86) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 9 = 0 or x^{2} + 9 x + 86 = 0

Solve

x - 9 = 0 : x = 9

Solve

x^{2} + 9 x + 86 = 0 : x = - \frac{9}{2} + i \frac{263}{2}, x = - \frac{9}{2} - i \frac{263}{2}

The solutions are

x = 9, x = - \frac{9}{2} + i \frac{263}{2}, x = - \frac{9}{2} - i \frac{263}{2}

4 x^{3} = 8

m^{4} - 2 m^{2} + 1 = 0

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

q^{3} = 8

x^{3} - 15 x^{2} - 28 x = 0

What are the solutions to the equation x^3+5x-774=0 ?
The solutions to the equation x^3+5x-774=0 are x=9,x=-9/2+i(sqrt(263))/2 ,x=-9/2-i(sqrt(263))/2
Find the zeros of x^3+5x-774=0
The zeros of x^3+5x-774=0 are x=9,x=-9/2+i(sqrt(263))/2 ,x=-9/2-i(sqrt(263))/2