What are the solutions to the equation x^3-6x^2-5x+30=0 ?

The solutions to the equation x^3-6x^2-5x+30=0 are x=6,x=-sqrt(5),x=sqrt(5)

Find the zeros of x^3-6x^2-5x+30=0

The zeros of x^3-6x^2-5x+30=0 are x=6,x=-sqrt(5),x=sqrt(5)

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x^{3} - 6 x^{2} - 5 x + 30 = 0

x = 6, x = - 5, x = 5

Decimal Notation

x = 6, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

x^{3} - 6 x^{2} - 5 x + 30 = 0

Factor

x^{3} - 6 x^{2} - 5 x + 30 : (x - 6) (x + 5) (x - 5)

(x - 6) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x + 5 = 0 or x - 5 = 0

Solve

x - 6 = 0 : x = 6

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 6, x = - 5, x = 5

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

2 r^{4} + 5 r^{3} + r^{2} - 2 r = 0

y^{3} = 0

- x^{3} + 11 x^{2} - 36 x + 36 = 0

x^{3} + 4 x^{2} + 5 x = 0

What are the solutions to the equation x^3-6x^2-5x+30=0 ?
The solutions to the equation x^3-6x^2-5x+30=0 are x=6,x=-sqrt(5),x=sqrt(5)
Find the zeros of x^3-6x^2-5x+30=0
The zeros of x^3-6x^2-5x+30=0 are x=6,x=-sqrt(5),x=sqrt(5)