What are the solutions to the equation x^3-10x^2-784=0 ?

The solutions to the equation x^3-10x^2-784=0 are x=14,x=-2+2sqrt(13)i,x=-2-2sqrt(13)i

Find the zeros of x^3-10x^2-784=0

The zeros of x^3-10x^2-784=0 are x=14,x=-2+2sqrt(13)i,x=-2-2sqrt(13)i

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x^{3} - 10 x^{2} - 784 = 0

x = 14, x = - 2 + 213 i, x = - 2 - 213 i

Solution steps

x^{3} - 10 x^{2} - 784 = 0

Factor

x^{3} - 10 x^{2} - 784 : (x - 14) (x^{2} + 4 x + 56)

(x - 14) (x^{2} + 4 x + 56) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 14 = 0 or x^{2} + 4 x + 56 = 0

Solve

x - 14 = 0 : x = 14

Solve

x^{2} + 4 x + 56 = 0 : x = - 2 + 213 i, x = - 2 - 213 i

The solutions are

x = 14, x = - 2 + 213 i, x = - 2 - 213 i

x^{4} = 3184

x^{4} - 6 x^{2} + x + 1 = 0

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

8 = (1 + r)^{12}

x^{99} = 13000000

What are the solutions to the equation x^3-10x^2-784=0 ?
The solutions to the equation x^3-10x^2-784=0 are x=14,x=-2+2sqrt(13)i,x=-2-2sqrt(13)i
Find the zeros of x^3-10x^2-784=0
The zeros of x^3-10x^2-784=0 are x=14,x=-2+2sqrt(13)i,x=-2-2sqrt(13)i