What are the solutions to the equation 6x^2-11x-2=8 ?

The solutions to the equation 6x^2-11x-2=8 are x= 5/2 ,x=-2/3

Find the zeros of 6x^2-11x-2=8

The zeros of 6x^2-11x-2=8 are x= 5/2 ,x=-2/3

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6 x^{2} - 11 x - 2 = 8

x = \frac{5}{2}, x = - \frac{2}{3}

Decimal Notation

x = 2.5, x = - 0.66666 \dots

Solution steps

6 x^{2} - 11 x - 2 = 8

Move

8

to the left side

6 x^{2} - 11 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 6 ( - 10 )}{2 \cdot 6}

(- 11)^{2} - 4 \cdot 6 (- 10) = 19

x_{1, 2} = \frac{- ( - 11 ) \pm 19}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 19}{2 \cdot 6}, x_{2} = \frac{- ( - 11 ) - 19}{2 \cdot 6}

x = \frac{- ( - 11 ) + 19}{2 \cdot 6} : \frac{5}{2}

x = \frac{- ( - 11 ) - 19}{2 \cdot 6} : - \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = - \frac{2}{3}

- 72 = - 10 b^{2} + 8

2 x^{2} - 11 x + 28 = x^{2}

y, 9 x^{2} + 4 y^{2} = 36

6 x^{2} - 35 = - 11 x

2 x^{2} + 7 x - 5 = 0

What are the solutions to the equation 6x^2-11x-2=8 ?
The solutions to the equation 6x^2-11x-2=8 are x= 5/2 ,x=-2/3
Find the zeros of 6x^2-11x-2=8
The zeros of 6x^2-11x-2=8 are x= 5/2 ,x=-2/3