What are the solutions to the equation 6x^2+6x=1 ?

The solutions to the equation 6x^2+6x=1 are x=(-3+sqrt(15))/6 ,x=-(3+sqrt(15))/6

Find the zeros of 6x^2+6x=1

The zeros of 6x^2+6x=1 are x=(-3+sqrt(15))/6 ,x=-(3+sqrt(15))/6

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6 x^{2} + 6 x = 1

x = \frac{- 3 + 15}{6}, x = - \frac{3 + 15}{6}

Decimal Notation

x = 0.14549 \dots, x = - 1.14549 \dots

Solution steps

6 x^{2} + 6 x = 1

Move

1

to the left side

6 x^{2} + 6 x - 1 = 0

Solve with the quadratic formula

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

6^{2} - 4 \cdot 6 (- 1) = 215

x_{1, 2} = \frac{- 6 \pm 2 15}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 6 + 2 15}{2 \cdot 6}, x_{2} = \frac{- 6 - 2 15}{2 \cdot 6}

x = \frac{- 6 + 2 15}{2 \cdot 6} : \frac{- 3 + 15}{6}

x = \frac{- 6 - 2 15}{2 \cdot 6} : - \frac{3 + 15}{6}

The solutions to the quadratic equation are:

x = \frac{- 3 + 15}{6}, x = - \frac{3 + 15}{6}

(x - 5)^{2} - 2 = 79

x, 0 = 1.35 x^{2} - 11.74 x + 8.62

- 400 (x)^{2} + 9600 x + 792000 = 0

x^{2} - 12 + 4 x = 0

1.5 x^{2} - 45 x - 45 = 0

What are the solutions to the equation 6x^2+6x=1 ?
The solutions to the equation 6x^2+6x=1 are x=(-3+sqrt(15))/6 ,x=-(3+sqrt(15))/6
Find the zeros of 6x^2+6x=1
The zeros of 6x^2+6x=1 are x=(-3+sqrt(15))/6 ,x=-(3+sqrt(15))/6