What are the solutions to the equation 826=12l^2+12l ?

The solutions to the equation 826=12l^2+12l are l=(-3+sqrt(2487))/6 ,l=-(3+sqrt(2487))/6

Find the zeros of 826=12l^2+12l

The zeros of 826=12l^2+12l are l=(-3+sqrt(2487))/6 ,l=-(3+sqrt(2487))/6

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826 = 12 l^{2} + 12 l

l = \frac{- 3 + 2487}{6}, l = - \frac{3 + 2487}{6}

Decimal Notation

l = 7.81163 \dots, l = - 8.81163 \dots

Solution steps

826 = 12 l^{2} + 12 l

Switch sides

12 l^{2} + 12 l = 826

Move

826

to the left side

12 l^{2} + 12 l - 826 = 0

Solve with the quadratic formula

l_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 12 ( - 826 )}{2 \cdot 12}

1 2^{2} - 4 \cdot 12 (- 826) = 42487

l_{1, 2} = \frac{- 12 \pm 4 2487}{2 \cdot 12}

Separate the solutions

l_{1} = \frac{- 12 + 4 2487}{2 \cdot 12}, l_{2} = \frac{- 12 - 4 2487}{2 \cdot 12}

l = \frac{- 12 + 4 2487}{2 \cdot 12} : \frac{- 3 + 2487}{6}

l = \frac{- 12 - 4 2487}{2 \cdot 12} : - \frac{3 + 2487}{6}

The solutions to the quadratic equation are:

l = \frac{- 3 + 2487}{6}, l = - \frac{3 + 2487}{6}

7 x^{2} - 9 = 2

14 + 12 v = - 16 + 9 v

(5 x)^{2} + (5 x + 5)^{2} = (5 x + 10)^{2}

5^{x + 2} - 5^{x - 1}

0.0 1^{2}

What are the solutions to the equation 826=12l^2+12l ?
The solutions to the equation 826=12l^2+12l are l=(-3+sqrt(2487))/6 ,l=-(3+sqrt(2487))/6
Find the zeros of 826=12l^2+12l
The zeros of 826=12l^2+12l are l=(-3+sqrt(2487))/6 ,l=-(3+sqrt(2487))/6