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

The solutions to the equation 2-3x+x^3=0 are x=1,x=-2

Find the zeros of 2-3x+x^3=0

The zeros of 2-3x+x^3=0 are x=1,x=-2

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

x = 1, x = - 2

Solution steps

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Factor

x^{3} - 3 x + 2 : (x - 1)^{2} (x + 2)

(x - 1)^{2} (x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

The solutions are

x = 1, x = - 2

x^{4} + 17 x^{3} + 60 x^{2} - 59 x + 77 = 0

y, x^{4} + y^{4} = 82

3 x^{4} + 22 x^{3} + 61 x^{2} + 76 x + 26 = 0

r^{3} + 4 r = 0

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

What are the solutions to the equation 2-3x+x^3=0 ?
The solutions to the equation 2-3x+x^3=0 are x=1,x=-2
Find the zeros of 2-3x+x^3=0
The zeros of 2-3x+x^3=0 are x=1,x=-2