What are the solutions to the equation 2x^4-15x^3+18x^2=0 ?

The solutions to the equation 2x^4-15x^3+18x^2=0 are x=0,x= 3/2 ,x=6

Find the zeros of 2x^4-15x^3+18x^2=0

The zeros of 2x^4-15x^3+18x^2=0 are x=0,x= 3/2 ,x=6

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2 x^{4} - 15 x^{3} + 18 x^{2} = 0

x = 0, x = \frac{3}{2}, x = 6

Decimal Notation

x = 0, x = 1.5, x = 6

Solution steps

2 x^{4} - 15 x^{3} + 18 x^{2} = 0

Factor

2 x^{4} - 15 x^{3} + 18 x^{2} : x^{2} (2 x - 3) (x - 6)

x^{2} (2 x - 3) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 3 = 0 or x - 6 = 0

Solve

2 x - 3 = 0 : x = \frac{3}{2}

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = \frac{3}{2}, x = 6

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

4 x^{4} + 10 x^{3} = 6 x^{2} + 15 x

r^{3} = 216

- x^{3} + 7 x + 6 = 0

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

What are the solutions to the equation 2x^4-15x^3+18x^2=0 ?
The solutions to the equation 2x^4-15x^3+18x^2=0 are x=0,x= 3/2 ,x=6
Find the zeros of 2x^4-15x^3+18x^2=0
The zeros of 2x^4-15x^3+18x^2=0 are x=0,x= 3/2 ,x=6