What are the solutions to the equation 39=-((x^2)/(200))+x-2 ?

The solutions to the equation 39=-((x^2)/(200))+x-2 are x=-30sqrt(2)+100,x=30sqrt(2)+100

Find the zeros of 39=-((x^2)/(200))+x-2

The zeros of 39=-((x^2)/(200))+x-2 are x=-30sqrt(2)+100,x=30sqrt(2)+100

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39 = - (\frac{x ^{2}}{200}) + x - 2

x = - 302 + 100, x = 302 + 100

Decimal

x = 57.57359 \dots, x = 142.42640 \dots

Solution steps

39 = - (\frac{x ^{2}}{200}) + x - 2

Refine

39 = - \frac{x ^{2}}{200} + x - 2

Switch sides

- \frac{x ^{2}}{200} + x - 2 = 39

Move

39

to the left side

- \frac{x ^{2}}{200} + x - 41 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - \frac{1}{200} ) ( - 41 )}{2 ( - \frac{1}{200} )}

1^{2} - 4 (- \frac{1}{200}) (- 41) = \frac{3}{5 2}

x_{1, 2} = \frac{- 1 \pm \frac{3}{5 2}}{2 ( - \frac{1}{200} )}

Separate the solutions

x_{1} = \frac{- 1 + \frac{3}{5 2}}{2 ( - \frac{1}{200} )}, x_{2} = \frac{- 1 - \frac{3}{5 2}}{2 ( - \frac{1}{200} )}

x = \frac{- 1 + \frac{3}{5 2}}{2 ( - \frac{1}{200} )} : - 302 + 100

x = \frac{- 1 - \frac{3}{5 2}}{2 ( - \frac{1}{200} )} : 302 + 100

The solutions to the quadratic equation are:

x = - 302 + 100, x = 302 + 100

x^{2} - \frac{15}{81} = \frac{539}{891}

5 n^{2} + 1 = 0

3 k^{2} + 2 k = 2 k^{2} + 11 k

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

x, x^{2} + m x - m = 0

What are the solutions to the equation 39=-((x^2)/(200))+x-2 ?
The solutions to the equation 39=-((x^2)/(200))+x-2 are x=-30sqrt(2)+100,x=30sqrt(2)+100
Find the zeros of 39=-((x^2)/(200))+x-2
The zeros of 39=-((x^2)/(200))+x-2 are x=-30sqrt(2)+100,x=30sqrt(2)+100