What are the solutions to the equation 71x^2-102x-333=0 ?

The solutions to the equation 71x^2-102x-333=0 are x=3,x=-111/71

Find the zeros of 71x^2-102x-333=0

The zeros of 71x^2-102x-333=0 are x=3,x=-111/71

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71 x^{2} - 102 x - 333 = 0

x = 3, x = - \frac{111}{71}

Decimal Notation

x = 3, x = - 1.56338 \dots

Solution steps

71 x^{2} - 102 x - 333 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 102 ) \pm ( - 102 ) ^{2} - 4 \cdot 71 ( - 333 )}{2 \cdot 71}

(- 102)^{2} - 4 \cdot 71 (- 333) = 324

x_{1, 2} = \frac{- ( - 102 ) \pm 324}{2 \cdot 71}

Separate the solutions

x_{1} = \frac{- ( - 102 ) + 324}{2 \cdot 71}, x_{2} = \frac{- ( - 102 ) - 324}{2 \cdot 71}

x = \frac{- ( - 102 ) + 324}{2 \cdot 71} : 3

x = \frac{- ( - 102 ) - 324}{2 \cdot 71} : - \frac{111}{71}

The solutions to the quadratic equation are:

x = 3, x = - \frac{111}{71}

(6 x + 5)^{2} = 24

200 = 0.1 w^{2} + 2.151 w + 20

- 2 (y^{2} + 2 y) + 3 (y^{2} - 1) = 5

1 = 2 x^{2}

6 b^{2} + 18 b - 24 = 0

What are the solutions to the equation 71x^2-102x-333=0 ?
The solutions to the equation 71x^2-102x-333=0 are x=3,x=-111/71
Find the zeros of 71x^2-102x-333=0
The zeros of 71x^2-102x-333=0 are x=3,x=-111/71