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

The solutions to the equation 2x^2-13x-6=0 are x=(13+sqrt(217))/4 ,x=(13-sqrt(217))/4

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

The zeros of 2x^2-13x-6=0 are x=(13+sqrt(217))/4 ,x=(13-sqrt(217))/4

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

x = \frac{13 + 217}{4}, x = \frac{13 - 217}{4}

Decimal Notation

x = 6.93272 \dots, x = - 0.43272 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 13)^{2} - 4 \cdot 2 (- 6) = 217

x_{1, 2} = \frac{- ( - 13 ) \pm 217}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 217}{2 \cdot 2}, x_{2} = \frac{- ( - 13 ) - 217}{2 \cdot 2}

x = \frac{- ( - 13 ) + 217}{2 \cdot 2} : \frac{13 + 217}{4}

x = \frac{- ( - 13 ) - 217}{2 \cdot 2} : \frac{13 - 217}{4}

The solutions to the quadratic equation are:

x = \frac{13 + 217}{4}, x = \frac{13 - 217}{4}

x^{2} - 8 x = - 6

x^{2} - 8 x = - 4

x^{2} = 5 x - 9

x, x^{2} + y^{3} - 9 = 0

x, 3 x^{2} - 8 x y - 12 y^{2} - 30 x - 64 y = 0

What are the solutions to the equation 2x^2-13x-6=0 ?
The solutions to the equation 2x^2-13x-6=0 are x=(13+sqrt(217))/4 ,x=(13-sqrt(217))/4
Find the zeros of 2x^2-13x-6=0
The zeros of 2x^2-13x-6=0 are x=(13+sqrt(217))/4 ,x=(13-sqrt(217))/4