What are the solutions to the equation -3x^2+174x-200=0 ?

The solutions to the equation -3x^2+174x-200=0 are x=(87-sqrt(6969))/3 ,x=(87+sqrt(6969))/3

Find the zeros of -3x^2+174x-200=0

The zeros of -3x^2+174x-200=0 are x=(87-sqrt(6969))/3 ,x=(87+sqrt(6969))/3

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- 3 x^{2} + 174 x - 200 = 0

x = \frac{87 - 6969}{3}, x = \frac{87 + 6969}{3}

Decimal Notation

x = 1.17315 \dots, x = 56.82684 \dots

Solution steps

- 3 x^{2} + 174 x - 200 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 174 \pm 17 4 ^{2} - 4 ( - 3 ) ( - 200 )}{2 ( - 3 )}

17 4^{2} - 4 (- 3) (- 200) = 26969

x_{1, 2} = \frac{- 174 \pm 2 6969}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 174 + 2 6969}{2 ( - 3 )}, x_{2} = \frac{- 174 - 2 6969}{2 ( - 3 )}

x = \frac{- 174 + 2 6969}{2 ( - 3 )} : \frac{87 - 6969}{3}

x = \frac{- 174 - 2 6969}{2 ( - 3 )} : \frac{87 + 6969}{3}

The solutions to the quadratic equation are:

x = \frac{87 - 6969}{3}, x = \frac{87 + 6969}{3}

12 x^{2} - 24 x - 36 = 0

x^{2} + 6 x - 10

x^{2} - 2 (x - 3) = 6 + 2 x

5 x^{2} - 5 x - 150 = 0

6 x (8 x - 9) = 0

What are the solutions to the equation -3x^2+174x-200=0 ?
The solutions to the equation -3x^2+174x-200=0 are x=(87-sqrt(6969))/3 ,x=(87+sqrt(6969))/3
Find the zeros of -3x^2+174x-200=0
The zeros of -3x^2+174x-200=0 are x=(87-sqrt(6969))/3 ,x=(87+sqrt(6969))/3