What are the solutions to the equation 0.5x^3-6.5x^2+15x=0 ?

The solutions to the equation 0.5x^3-6.5x^2+15x=0 are x=0,x=10,x=3

Find the zeros of 0.5x^3-6.5x^2+15x=0

The zeros of 0.5x^3-6.5x^2+15x=0 are x=0,x=10,x=3

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0.5 x^{3} - 6.5 x^{2} + 15 x = 0

x = 0, x = 10, x = 3

Solution steps

0.5 x^{3} - 6.5 x^{2} + 15 x = 0

Factor

0.5 x^{3} - 6.5 x^{2} + 15 x : x (0.5 x^{2} - 6.5 x + 15)

x (0.5 x^{2} - 6.5 x + 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 0.5 x^{2} - 6.5 x + 15 = 0

Solve

0.5 x^{2} - 6.5 x + 15 = 0 : x = 10, x = 3

The solutions are

x = 0, x = 10, x = 3

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

655 = 5 x^{3}

x^{4} + 7 x^{2} - 1 = 0

x^{3} + 8 x = 0

y = y^{4}

What are the solutions to the equation 0.5x^3-6.5x^2+15x=0 ?
The solutions to the equation 0.5x^3-6.5x^2+15x=0 are x=0,x=10,x=3
Find the zeros of 0.5x^3-6.5x^2+15x=0
The zeros of 0.5x^3-6.5x^2+15x=0 are x=0,x=10,x=3