What are the solutions to the equation -60x^4+540x^3-1200x^2=0 ?

The solutions to the equation -60x^4+540x^3-1200x^2=0 are x=0,x=4,x=5

Find the zeros of -60x^4+540x^3-1200x^2=0

The zeros of -60x^4+540x^3-1200x^2=0 are x=0,x=4,x=5

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- 60 x^{4} + 540 x^{3} - 1200 x^{2} = 0

x = 0, x = 4, x = 5

Solution steps

- 60 x^{4} + 540 x^{3} - 1200 x^{2} = 0

Factor

- 60 x^{4} + 540 x^{3} - 1200 x^{2} : - 60 x^{2} (x - 4) (x - 5)

- 60 x^{2} (x - 4) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 = 0 or x - 5 = 0

Solve

x - 4 = 0 : x = 4

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = 4, x = 5

x^{3} + 6 x = 25

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

x^{6} = 100

x, x^{3} + x^{2} - 2 x - 1 = 0

3 x^{4} + 16 x^{3} + 32 x^{2} + 27 x + 6

What are the solutions to the equation -60x^4+540x^3-1200x^2=0 ?
The solutions to the equation -60x^4+540x^3-1200x^2=0 are x=0,x=4,x=5
Find the zeros of -60x^4+540x^3-1200x^2=0
The zeros of -60x^4+540x^3-1200x^2=0 are x=0,x=4,x=5