What are the solutions to the equation 0=-27x^2+1890x+9831 ?

The solutions to the equation 0=-27x^2+1890x+9831 are x=-(-105+sqrt(14302))/3 ,x=(105+sqrt(14302))/3

Find the zeros of 0=-27x^2+1890x+9831

The zeros of 0=-27x^2+1890x+9831 are x=-(-105+sqrt(14302))/3 ,x=(105+sqrt(14302))/3

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0 = - 27 x^{2} + 1890 x + 9831

x = - \frac{- 105 + 14302}{3}, x = \frac{105 + 14302}{3}

Decimal Notation

x = - 4.86365 \dots, x = 74.86365 \dots

Solution steps

0 = - 27 x^{2} + 1890 x + 9831

Switch sides

- 27 x^{2} + 1890 x + 9831 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1890 \pm 189 0 ^{2} - 4 ( - 27 ) \cdot 9831}{2 ( - 27 )}

189 0^{2} - 4 (- 27) \cdot 9831 = 1814302

x_{1, 2} = \frac{- 1890 \pm 18 14302}{2 ( - 27 )}

Separate the solutions

x_{1} = \frac{- 1890 + 18 14302}{2 ( - 27 )}, x_{2} = \frac{- 1890 - 18 14302}{2 ( - 27 )}

x = \frac{- 1890 + 18 14302}{2 ( - 27 )} : - \frac{- 105 + 14302}{3}

x = \frac{- 1890 - 18 14302}{2 ( - 27 )} : \frac{105 + 14302}{3}

The solutions to the quadratic equation are:

x = - \frac{- 105 + 14302}{3}, x = \frac{105 + 14302}{3}

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What are the solutions to the equation 0=-27x^2+1890x+9831 ?
The solutions to the equation 0=-27x^2+1890x+9831 are x=-(-105+sqrt(14302))/3 ,x=(105+sqrt(14302))/3
Find the zeros of 0=-27x^2+1890x+9831
The zeros of 0=-27x^2+1890x+9831 are x=-(-105+sqrt(14302))/3 ,x=(105+sqrt(14302))/3