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

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

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

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

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

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

Solution steps

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

Switch sides

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

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

5^{2} + 10 = 7 x^{5}

3 x^{3} + 8 x^{2} - 3 = 0

x (x - 3)^{2} - 4 (x - 3)^{3} = 0

(x + 5)^{3} = - 27

x^{3} - 24 x = 5 x^{2}

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