What are the solutions to the equation 6x^2-14x-9=0 ?

The solutions to the equation 6x^2-14x-9=0 are x=(7+sqrt(103))/6 ,x=(7-sqrt(103))/6

Find the zeros of 6x^2-14x-9=0

The zeros of 6x^2-14x-9=0 are x=(7+sqrt(103))/6 ,x=(7-sqrt(103))/6

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6 x^{2} - 14 x - 9 = 0

x = \frac{7 + 103}{6}, x = \frac{7 - 103}{6}

Decimal Notation

x = 2.85814 \dots, x = - 0.52481 \dots

Solution steps

6 x^{2} - 14 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 6 ( - 9 )}{2 \cdot 6}

(- 14)^{2} - 4 \cdot 6 (- 9) = 2103

x_{1, 2} = \frac{- ( - 14 ) \pm 2 103}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 103}{2 \cdot 6}, x_{2} = \frac{- ( - 14 ) - 2 103}{2 \cdot 6}

x = \frac{- ( - 14 ) + 2 103}{2 \cdot 6} : \frac{7 + 103}{6}

x = \frac{- ( - 14 ) - 2 103}{2 \cdot 6} : \frac{7 - 103}{6}

The solutions to the quadratic equation are:

x = \frac{7 + 103}{6}, x = \frac{7 - 103}{6}

36 a^{2} - 49

4 x - 3 < 9

\frac{7}{5} - 1

ln (e^{- 9})

lo g_{2} (1 0^{6})

What are the solutions to the equation 6x^2-14x-9=0 ?
The solutions to the equation 6x^2-14x-9=0 are x=(7+sqrt(103))/6 ,x=(7-sqrt(103))/6
Find the zeros of 6x^2-14x-9=0
The zeros of 6x^2-14x-9=0 are x=(7+sqrt(103))/6 ,x=(7-sqrt(103))/6