What are the solutions to the equation x^3-21x+20=0 ?

The solutions to the equation x^3-21x+20=0 are x=1,x=4,x=-5

Find the zeros of x^3-21x+20=0

The zeros of x^3-21x+20=0 are x=1,x=4,x=-5

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x^{3} - 21 x + 20 = 0

x = 1, x = 4, x = - 5

Solution steps

x^{3} - 21 x + 20 = 0

Factor

x^{3} - 21 x + 20 : (x - 1) (x - 4) (x + 5)

(x - 1) (x - 4) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 4 = 0 or x + 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 4 = 0 : x = 4

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 1, x = 4, x = - 5

18 x^{3} - 63 x^{2} - 8 x + 28 = 0

8 (x + 1)^{3} = 27 (2 x - 1)^{3}

(x + 3) (x^{2} - 3 x + 9) = 91

z^{6} = 8

2 x^{3} + 4 x^{2} + 13 x - 13 = 0

What are the solutions to the equation x^3-21x+20=0 ?
The solutions to the equation x^3-21x+20=0 are x=1,x=4,x=-5
Find the zeros of x^3-21x+20=0
The zeros of x^3-21x+20=0 are x=1,x=4,x=-5