What are the solutions to the equation x^3+7x^2+2x+14=0 ?

The solutions to the equation x^3+7x^2+2x+14=0 are x=-7,x=sqrt(2)i,x=-sqrt(2)i

Find the zeros of x^3+7x^2+2x+14=0

The zeros of x^3+7x^2+2x+14=0 are x=-7,x=sqrt(2)i,x=-sqrt(2)i

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x^{3} + 7 x^{2} + 2 x + 14 = 0

x = - 7, x = 2 i, x = - 2 i

Solution steps

x^{3} + 7 x^{2} + 2 x + 14 = 0

Factor

x^{3} + 7 x^{2} + 2 x + 14 : (x + 7) (x^{2} + 2)

(x + 7) (x^{2} + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 7 = 0 or x^{2} + 2 = 0

Solve

x + 7 = 0 : x = - 7

Solve

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

The solutions are

x = - 7, x = 2 i, x = - 2 i

x^{4} - 16 x^{3} + 76 x^{2} - 96 x + 16 = 0

3 x^{3} + x = 0

2 (x + 6) (16 x^{2} - 25) = 0

x^{2} (x - 2) - 4 (x - 2) = 0

(1 + x)^{3} = 1.3

What are the solutions to the equation x^3+7x^2+2x+14=0 ?
The solutions to the equation x^3+7x^2+2x+14=0 are x=-7,x=sqrt(2)i,x=-sqrt(2)i
Find the zeros of x^3+7x^2+2x+14=0
The zeros of x^3+7x^2+2x+14=0 are x=-7,x=sqrt(2)i,x=-sqrt(2)i