What are the solutions to the equation 6x^2-13x-6=0 ?

The solutions to the equation 6x^2-13x-6=0 are x=(13+sqrt(313))/(12),x=(13-sqrt(313))/(12)

Find the zeros of 6x^2-13x-6=0

The zeros of 6x^2-13x-6=0 are x=(13+sqrt(313))/(12),x=(13-sqrt(313))/(12)

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6 x^{2} - 13 x - 6 = 0

x = \frac{13 + 313}{12}, x = \frac{13 - 313}{12}

Decimal Notation

x = 2.55765 \dots, x = - 0.39098 \dots

Solution steps

6 x^{2} - 13 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 ( - 6 )}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 (- 6) = 313

x_{1, 2} = \frac{- ( - 13 ) \pm 313}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 313}{2 \cdot 6}, x_{2} = \frac{- ( - 13 ) - 313}{2 \cdot 6}

x = \frac{- ( - 13 ) + 313}{2 \cdot 6} : \frac{13 + 313}{12}

x = \frac{- ( - 13 ) - 313}{2 \cdot 6} : \frac{13 - 313}{12}

The solutions to the quadratic equation are:

x = \frac{13 + 313}{12}, x = \frac{13 - 313}{12}

x - 5 = 6

2 x^{3} - 3 x^{2} - 8 x + 12

h^{2} + h - 2

\frac{3 b}{7} - 1 = 5

x + 8 = - 9

What are the solutions to the equation 6x^2-13x-6=0 ?
The solutions to the equation 6x^2-13x-6=0 are x=(13+sqrt(313))/(12),x=(13-sqrt(313))/(12)
Find the zeros of 6x^2-13x-6=0
The zeros of 6x^2-13x-6=0 are x=(13+sqrt(313))/(12),x=(13-sqrt(313))/(12)