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

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

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

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

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

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

Solution steps

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}

- 10 + 2 x - 4 x = - 24

2 x^{2} + 3 x - 20 > 0

3 (n - 7) = - 30

8 y - 3 - (5 - 2 y) = 4.3

\frac{1}{2} (- 4)

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