What are the solutions to the equation 12x^2-476x+3160=0 ?

The solutions to the equation 12x^2-476x+3160=0 are x=(119+sqrt(4681))/6 ,x=(119-sqrt(4681))/6

Find the zeros of 12x^2-476x+3160=0

The zeros of 12x^2-476x+3160=0 are x=(119+sqrt(4681))/6 ,x=(119-sqrt(4681))/6

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12 x^{2} - 476 x + 3160 = 0

x = \frac{119 + 4681}{6}, x = \frac{119 - 4681}{6}

Decimal Notation

x = 31.23630 \dots, x = 8.43036 \dots

Solution steps

12 x^{2} - 476 x + 3160 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 476 ) \pm ( - 476 ) ^{2} - 4 \cdot 12 \cdot 3160}{2 \cdot 12}

(- 476)^{2} - 4 \cdot 12 \cdot 3160 = 44681

x_{1, 2} = \frac{- ( - 476 ) \pm 4 4681}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 476 ) + 4 4681}{2 \cdot 12}, x_{2} = \frac{- ( - 476 ) - 4 4681}{2 \cdot 12}

x = \frac{- ( - 476 ) + 4 4681}{2 \cdot 12} : \frac{119 + 4681}{6}

x = \frac{- ( - 476 ) - 4 4681}{2 \cdot 12} : \frac{119 - 4681}{6}

The solutions to the quadratic equation are:

x = \frac{119 + 4681}{6}, x = \frac{119 - 4681}{6}

18 a^{2} - 30 = - 33 a

- 2 x^{2} + 12 x - 5 = 0

x^{2} - \frac{3}{2} x = \frac{7}{16}

1 4^{2} + x^{2} = 5 0^{2}

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

What are the solutions to the equation 12x^2-476x+3160=0 ?
The solutions to the equation 12x^2-476x+3160=0 are x=(119+sqrt(4681))/6 ,x=(119-sqrt(4681))/6
Find the zeros of 12x^2-476x+3160=0
The zeros of 12x^2-476x+3160=0 are x=(119+sqrt(4681))/6 ,x=(119-sqrt(4681))/6