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

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

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

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

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

x = 9 - 131, x = 9 + 131

Decimal Notation

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

Solution steps

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

Switch sides

- 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

45 = \frac{1}{2} (5) v^{2}

a, a^{2} = b^{2} + c^{2} - 2 b c

2 a x^{2} + (2 a^{2} - a - 4) x - (2 + a^{2}) = 0

(x + 8)^{2} - 1 = 0

\frac{( x ^{2} + 4 x )}{4} = 24

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