What are the solutions to the equation -0.8x^2+160x-3000=0 ?

The solutions to the equation -0.8x^2+160x-3000=0 are x=25(4-sqrt(10)),x=25(4+sqrt(10))

Find the zeros of -0.8x^2+160x-3000=0

The zeros of -0.8x^2+160x-3000=0 are x=25(4-sqrt(10)),x=25(4+sqrt(10))

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- 0.8 x^{2} + 160 x - 3000 = 0

x = 25 (4 - 10), x = 25 (4 + 10)

Decimal Notation

x = 20.94305 \dots, x = 179.05694 \dots

Solution steps

- 0.8 x^{2} + 160 x - 3000 = 0

Multiply both sides by

10

- 8 x^{2} + 1600 x - 30000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1600 \pm 160 0 ^{2} - 4 ( - 8 ) ( - 30000 )}{2 ( - 8 )}

160 0^{2} - 4 (- 8) (- 30000) = 40010

x_{1, 2} = \frac{- 1600 \pm 400 10}{2 ( - 8 )}

Separate the solutions

x_{1} = \frac{- 1600 + 400 10}{2 ( - 8 )}, x_{2} = \frac{- 1600 - 400 10}{2 ( - 8 )}

x = \frac{- 1600 + 400 10}{2 ( - 8 )} : 25 (4 - 10)

x = \frac{- 1600 - 400 10}{2 ( - 8 )} : 25 (4 + 10)

The solutions to the quadratic equation are:

x = 25 (4 - 10), x = 25 (4 + 10)

- 5 x^{2} + 250 x - 3000 = 0

- 0.0625 t^{2} + 2 t + 50 = 0

z^{2} = 8 z + 20

2 x^{2} + 9 x - 12 = 14

x^{2} - 8 x - 38 = 0

What are the solutions to the equation -0.8x^2+160x-3000=0 ?
The solutions to the equation -0.8x^2+160x-3000=0 are x=25(4-sqrt(10)),x=25(4+sqrt(10))
Find the zeros of -0.8x^2+160x-3000=0
The zeros of -0.8x^2+160x-3000=0 are x=25(4-sqrt(10)),x=25(4+sqrt(10))