What are the solutions to the equation 3x^2-11x-14=0 ?

The solutions to the equation 3x^2-11x-14=0 are x= 14/3 ,x=-1

Find the zeros of 3x^2-11x-14=0

The zeros of 3x^2-11x-14=0 are x= 14/3 ,x=-1

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3 x^{2} - 11 x - 14 = 0

x = \frac{14}{3}, x = - 1

Decimal Notation

x = 4.66666 \dots, x = - 1

Solution steps

3 x^{2} - 11 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 ( - 14 )}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 (- 14) = 17

x_{1, 2} = \frac{- ( - 11 ) \pm 17}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 17}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 17}{2 \cdot 3}

x = \frac{- ( - 11 ) + 17}{2 \cdot 3} : \frac{14}{3}

x = \frac{- ( - 11 ) - 17}{2 \cdot 3} : - 1

The solutions to the quadratic equation are:

x = \frac{14}{3}, x = - 1

- 1 + \frac{7}{2}

x^{3} + 6 x^{2} + x + 6

3 x^{2} - 13 x - 10

3 x - \frac{x + 3}{4} = 13

\frac{3}{10} - \frac{11}{30}

What are the solutions to the equation 3x^2-11x-14=0 ?
The solutions to the equation 3x^2-11x-14=0 are x= 14/3 ,x=-1
Find the zeros of 3x^2-11x-14=0
The zeros of 3x^2-11x-14=0 are x= 14/3 ,x=-1