What are the solutions to the equation r^3-7r-6=0 ?

The solutions to the equation r^3-7r-6=0 are r=-1,r=-2,r=3

Find the zeros of r^3-7r-6=0

The zeros of r^3-7r-6=0 are r=-1,r=-2,r=3

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r^{3} - 7 r - 6 = 0

r = - 1, r = - 2, r = 3

Solution steps

r^{3} - 7 r - 6 = 0

Factor

r^{3} - 7 r - 6 : (r + 1) (r + 2) (r - 3)

(r + 1) (r + 2) (r - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r + 1 = 0 or r + 2 = 0 or r - 3 = 0

Solve

r + 1 = 0 : r = - 1

Solve

r + 2 = 0 : r = - 2

Solve

r - 3 = 0 : r = 3

The solutions are

r = - 1, r = - 2, r = 3

x^{4} - 12 x^{2} + 2 x = 0

4 x^{3} - 32 x = 0

4 x^{4} + 9 = 37 x^{2}

x^{7} - 3 x^{5} + x^{2} - 2 x + 13

z^{4} + 6 (1 + i) z^{2} + 5 + 6 i = 0

What are the solutions to the equation r^3-7r-6=0 ?
The solutions to the equation r^3-7r-6=0 are r=-1,r=-2,r=3
Find the zeros of r^3-7r-6=0
The zeros of r^3-7r-6=0 are r=-1,r=-2,r=3