What are the solutions to the equation x^3-13x^2+40x=0 ?

The solutions to the equation x^3-13x^2+40x=0 are x=0,x=5,x=8

Find the zeros of x^3-13x^2+40x=0

The zeros of x^3-13x^2+40x=0 are x=0,x=5,x=8

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x^{3} - 13 x^{2} + 40 x = 0

x = 0, x = 5, x = 8

Solution steps

x^{3} - 13 x^{2} + 40 x = 0

Factor

x^{3} - 13 x^{2} + 40 x : x (x - 5) (x - 8)

x (x - 5) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0 or x - 8 = 0

Solve

x - 5 = 0 : x = 5

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = 5, x = 8

16 x^{4} - 8 x^{2} + 1 = 0

4 x^{3} - 36 x^{2} + 96 x - 64 = 0

6 x^{4} = - 96 x^{2}

x^{4} + 21 x^{2} - 100 = 0

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

What are the solutions to the equation x^3-13x^2+40x=0 ?
The solutions to the equation x^3-13x^2+40x=0 are x=0,x=5,x=8
Find the zeros of x^3-13x^2+40x=0
The zeros of x^3-13x^2+40x=0 are x=0,x=5,x=8