What are the solutions to the equation 3w^2-10w-77=0 ?

The solutions to the equation 3w^2-10w-77=0 are w=7,w=-11/3

Find the zeros of 3w^2-10w-77=0

The zeros of 3w^2-10w-77=0 are w=7,w=-11/3

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

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

Decimal Notation

w = 7, w = - 3.66666 \dots

Solution steps

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 - 4 = - 10

3 x - 7 = x + 1

\frac{5 - x}{2} + 4 = - 6

x^{2} + 15 x y + 36 y^{2}

6 x + 10 + 5 x + 28 = 180

What are the solutions to the equation 3w^2-10w-77=0 ?
The solutions to the equation 3w^2-10w-77=0 are w=7,w=-11/3
Find the zeros of 3w^2-10w-77=0
The zeros of 3w^2-10w-77=0 are w=7,w=-11/3