What are the solutions to the equation -20x^2+360x+1000=0 ?

The solutions to the equation -20x^2+360x+1000=0 are x=9-sqrt(131),x=9+sqrt(131)

Find the zeros of -20x^2+360x+1000=0

The zeros of -20x^2+360x+1000=0 are x=9-sqrt(131),x=9+sqrt(131)

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- 20 x^{2} + 360 x + 1000 = 0

x = 9 - 131, x = 9 + 131

Decimal Notation

x = - 2.44552 \dots, x = 20.44552 \dots

Solution steps

- 20 x^{2} + 360 x + 1000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 360 \pm 36 0 ^{2} - 4 ( - 20 ) \cdot 1000}{2 ( - 20 )}

36 0^{2} - 4 (- 20) \cdot 1000 = 40131

x_{1, 2} = \frac{- 360 \pm 40 131}{2 ( - 20 )}

Separate the solutions

x_{1} = \frac{- 360 + 40 131}{2 ( - 20 )}, x_{2} = \frac{- 360 - 40 131}{2 ( - 20 )}

x = \frac{- 360 + 40 131}{2 ( - 20 )} : 9 - 131

x = \frac{- 360 - 40 131}{2 ( - 20 )} : 9 + 131

The solutions to the quadratic equation are:

x = 9 - 131, x = 9 + 131

3 x - 17 + 3 x^{2} = - 4

3 x^{2} - 2 = 5 x

3 x^{2} - 432 = 0

1 + 4 + 7 + (3 n - 2) = \frac{n}{2} (3 n - 1)

- 3 x^{2} + 6 x = 4

What are the solutions to the equation -20x^2+360x+1000=0 ?
The solutions to the equation -20x^2+360x+1000=0 are x=9-sqrt(131),x=9+sqrt(131)
Find the zeros of -20x^2+360x+1000=0
The zeros of -20x^2+360x+1000=0 are x=9-sqrt(131),x=9+sqrt(131)