What are the solutions to the equation r^3+3r^2-9r-27=0 ?

The solutions to the equation r^3+3r^2-9r-27=0 are r=-3,r=3

Find the zeros of r^3+3r^2-9r-27=0

The zeros of r^3+3r^2-9r-27=0 are r=-3,r=3

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r^{3} + 3 r^{2} - 9 r - 27 = 0

r = - 3, r = 3

Solution steps

r^{3} + 3 r^{2} - 9 r - 27 = 0

Factor

r^{3} + 3 r^{2} - 9 r - 27 : (r + 3)^{2} (r - 3)

(r + 3)^{2} (r - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r + 3 = 0 or r - 3 = 0

Solve

r + 3 = 0 : r = - 3

Solve

r - 3 = 0 : r = 3

The solutions are

r = - 3, r = 3

v^{3} = 343

x, 6 y - 12 x^{3} = 0

x^{3} + x^{2} + x + 1 = 4

905 = 5 x^{3}

x^{3} - 6 x^{2} + 15 = 0

What are the solutions to the equation r^3+3r^2-9r-27=0 ?
The solutions to the equation r^3+3r^2-9r-27=0 are r=-3,r=3
Find the zeros of r^3+3r^2-9r-27=0
The zeros of r^3+3r^2-9r-27=0 are r=-3,r=3