What are the solutions to the equation (3w-10)w=77 ?

The solutions to the equation (3w-10)w=77 are w=7,w=-11/3

Find the zeros of (3w-10)w=77

The zeros of (3w-10)w=77 are w=7,w=-11/3

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(3 w - 10) w = 77

w = 7, w = - \frac{11}{3}

Solution steps

(3 w - 10) w = 77

Expand

(3 w - 10) w : 3 w^{2} - 10 w

3 w^{2} - 10 w = 77

Move

77

to the left side

3 w^{2} - 10 w - 77 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 77 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 77) = 32

w_{1, 2} = \frac{- ( - 10 ) \pm 32}{2 \cdot 3}

Separate the solutions

w_{1} = \frac{- ( - 10 ) + 32}{2 \cdot 3}, w_{2} = \frac{- ( - 10 ) - 32}{2 \cdot 3}

w = \frac{- ( - 10 ) + 32}{2 \cdot 3} : 7

w = \frac{- ( - 10 ) - 32}{2 \cdot 3} : - \frac{11}{3}

The solutions to the quadratic equation are:

w = 7, w = - \frac{11}{3}

x^{2} - 10 x + 24 < 0

12 - \frac{a}{65}

\frac{x + 1}{x - 1} > 1

3 t^{2} - 1 = 0

x (2 x + 3) - 1 (2 x + 3)

What are the solutions to the equation (3w-10)w=77 ?
The solutions to the equation (3w-10)w=77 are w=7,w=-11/3
Find the zeros of (3w-10)w=77
The zeros of (3w-10)w=77 are w=7,w=-11/3