What are the solutions to the equation -6=3w^2-11w ?

The solutions to the equation -6=3w^2-11w are w=3,w= 2/3

Find the zeros of -6=3w^2-11w

The zeros of -6=3w^2-11w are w=3,w= 2/3

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- 6 = 3 w^{2} - 11 w

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

Decimal Notation

w = 3, w = 0.66666 \dots

Solution steps

- 6 = 3 w^{2} - 11 w

Switch sides

3 w^{2} - 11 w = - 6

Move

6

to the left side

3 w^{2} - 11 w + 6 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 \cdot 6 = 7

w_{1, 2} = \frac{- ( - 11 ) \pm 7}{2 \cdot 3}

Separate the solutions

w_{1} = \frac{- ( - 11 ) + 7}{2 \cdot 3}, w_{2} = \frac{- ( - 11 ) - 7}{2 \cdot 3}

w = \frac{- ( - 11 ) + 7}{2 \cdot 3} : 3

w = \frac{- ( - 11 ) - 7}{2 \cdot 3} : \frac{2}{3}

The solutions to the quadratic equation are:

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

9 + \frac{8 ^{3}}{2}

8 - 14

- 5 x^{2} + 8 x + 21 = 0

\frac{m}{5} < 2

9 y + 4 = 5 (y - 4)

What are the solutions to the equation -6=3w^2-11w ?
The solutions to the equation -6=3w^2-11w are w=3,w= 2/3
Find the zeros of -6=3w^2-11w
The zeros of -6=3w^2-11w are w=3,w= 2/3