What are the solutions to the equation 6w^3-13w^2+6w=0 ?

The solutions to the equation 6w^3-13w^2+6w=0 are w=0,w= 2/3 ,w= 3/2

Find the zeros of 6w^3-13w^2+6w=0

The zeros of 6w^3-13w^2+6w=0 are w=0,w= 2/3 ,w= 3/2

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6 w^{3} - 13 w^{2} + 6 w = 0

w = 0, w = \frac{2}{3}, w = \frac{3}{2}

Decimal Notation

w = 0, w = 0.66666 \dots, w = 1.5

Solution steps

6 w^{3} - 13 w^{2} + 6 w = 0

Factor

6 w^{3} - 13 w^{2} + 6 w : w (3 w - 2) (2 w - 3)

w (3 w - 2) (2 w - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

w = 0 or 3 w - 2 = 0 or 2 w - 3 = 0

Solve

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

Solve

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

The solutions are

w = 0, w = \frac{2}{3}, w = \frac{3}{2}

6 x^{(3)} + 9 x^{(2)} + 4 x + 6 = 0

405 = 5 x^{3}

x^{3} + 5 x^{2} + 16 x + 80 = 0

0 = x^{4} - 4 x^{2} - 45

(1 - y) (3 - y) (6 - y) = - 70

What are the solutions to the equation 6w^3-13w^2+6w=0 ?
The solutions to the equation 6w^3-13w^2+6w=0 are w=0,w= 2/3 ,w= 3/2
Find the zeros of 6w^3-13w^2+6w=0
The zeros of 6w^3-13w^2+6w=0 are w=0,w= 2/3 ,w= 3/2