What are the solutions to the equation roots x^4-x^3-30x^2 ?

The solutions to the equation roots x^4-x^3-30x^2 are x=0,x=-5,x=6

Find the zeros of roots x^4-x^3-30x^2

The zeros of roots x^4-x^3-30x^2 are x=0,x=-5,x=6

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roots

x^{4} - x^{3} - 30 x^{2}

x = 0, x = - 5, x = 6

Solution steps

x^{4} - x^{3} - 30 x^{2}

The roots are the intercepts with the x-axis

(y = 0)

x^{4} - x^{3} - 30 x^{2} = 0

Factor

x^{4} - x^{3} - 30 x^{2} : x^{2} (x + 5) (x - 6)

x^{2} (x + 5) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 5, x = 6

2 x^{4} + 5 x^{3} - 23 x^{2} + 10 x = 0

x^{3} + 9 x^{2} + 20 x = 0

12 x^{3} - 36 x = 0

2 x^{3} - 3 x^{2} - 32 x - 15 = 0

15 x^{2} - 5 x^{5} - 5 = 0

What are the solutions to the equation roots x^4-x^3-30x^2 ?
The solutions to the equation roots x^4-x^3-30x^2 are x=0,x=-5,x=6
Find the zeros of roots x^4-x^3-30x^2
The zeros of roots x^4-x^3-30x^2 are x=0,x=-5,x=6