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

The solutions to the equation 6x^2+6x-13=0 are x=(-3+sqrt(87))/6 ,x=-(3+sqrt(87))/6

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

The zeros of 6x^2+6x-13=0 are x=(-3+sqrt(87))/6 ,x=-(3+sqrt(87))/6

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

x = \frac{- 3 + 87}{6}, x = - \frac{3 + 87}{6}

Decimal Notation

x = 1.05456 \dots, x = - 2.05456 \dots

Solution steps

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

Solve with the quadratic formula

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

6^{2} - 4 \cdot 6 (- 13) = 287

x_{1, 2} = \frac{- 6 \pm 2 87}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 6 + 2 87}{2 \cdot 6}, x_{2} = \frac{- 6 - 2 87}{2 \cdot 6}

x = \frac{- 6 + 2 87}{2 \cdot 6} : \frac{- 3 + 87}{6}

x = \frac{- 6 - 2 87}{2 \cdot 6} : - \frac{3 + 87}{6}

The solutions to the quadratic equation are:

x = \frac{- 3 + 87}{6}, x = - \frac{3 + 87}{6}

2 x (x - 6) = 3

x^{2} - 4 x - 1 = 0

12 x^{2} - 4 = 13 x

(- x + 5)^{2} - 45 = 0

9 x^{2} + 4 x + 5 = 0

What are the solutions to the equation 6x^2+6x-13=0 ?
The solutions to the equation 6x^2+6x-13=0 are x=(-3+sqrt(87))/6 ,x=-(3+sqrt(87))/6
Find the zeros of 6x^2+6x-13=0
The zeros of 6x^2+6x-13=0 are x=(-3+sqrt(87))/6 ,x=-(3+sqrt(87))/6