What are the solutions to the equation D^3-11D-20=0 ?

The solutions to the equation D^3-11D-20=0 are D=4,D=-2+i,D=-2-i

Find the zeros of D^3-11D-20=0

The zeros of D^3-11D-20=0 are D=4,D=-2+i,D=-2-i

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D^{3} - 11 D - 20 = 0

D = 4, D = - 2 + i, D = - 2 - i

Solution steps

D^{3} - 11 D - 20 = 0

Factor

D^{3} - 11 D - 20 : (D - 4) (D^{2} + 4 D + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

D - 4 = 0 or D^{2} + 4 D + 5 = 0

Solve

D - 4 = 0 : D = 4

Solve

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

The solutions are

D = 4, D = - 2 + i, D = - 2 - i

19 - x^{2} x = - 5

4 x^{2} (x + 9) = 0

2^{6} = x^{3}

6 x^{3} + 27 x^{2} - 54 x = 0

4 y^{3} - 7 y^{2} + 28 = 16 y

What are the solutions to the equation D^3-11D-20=0 ?
The solutions to the equation D^3-11D-20=0 are D=4,D=-2+i,D=-2-i
Find the zeros of D^3-11D-20=0
The zeros of D^3-11D-20=0 are D=4,D=-2+i,D=-2-i