What are the solutions to the equation x^3+x^2-5x+3=0 ?

The solutions to the equation x^3+x^2-5x+3=0 are x=1,x=-3

Find the zeros of x^3+x^2-5x+3=0

The zeros of x^3+x^2-5x+3=0 are x=1,x=-3

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x^{3} + x^{2} - 5 x + 3 = 0

x = 1, x = - 3

Solution steps

x^{3} + x^{2} - 5 x + 3 = 0

Factor

x^{3} + x^{2} - 5 x + 3 : (x - 1)^{2} (x + 3)

(x - 1)^{2} (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 1, x = - 3

y, y^{3} = C x^{4} - 3 x

x^{4} = 256

x^{4} - 6 x^{2} + 2 = 0

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

15 x^{4} - 60 x^{2} = 0

What are the solutions to the equation x^3+x^2-5x+3=0 ?
The solutions to the equation x^3+x^2-5x+3=0 are x=1,x=-3
Find the zeros of x^3+x^2-5x+3=0
The zeros of x^3+x^2-5x+3=0 are x=1,x=-3