What are the solutions to the equation -0.5x^2+80x-250=0 ?

The solutions to the equation -0.5x^2+80x-250=0 are x=10(8-sqrt(59)),x=10(8+sqrt(59))

Find the zeros of -0.5x^2+80x-250=0

The zeros of -0.5x^2+80x-250=0 are x=10(8-sqrt(59)),x=10(8+sqrt(59))

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- 0.5 x^{2} + 80 x - 250 = 0

x = 10 (8 - 59), x = 10 (8 + 59)

Decimal Notation

x = 3.18854 \dots, x = 156.81145 \dots

Solution steps

- 0.5 x^{2} + 80 x - 250 = 0

Multiply both sides by

10

- 5 x^{2} + 800 x - 2500 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 800 \pm 80 0 ^{2} - 4 ( - 5 ) ( - 2500 )}{2 ( - 5 )}

80 0^{2} - 4 (- 5) (- 2500) = 10059

x_{1, 2} = \frac{- 800 \pm 100 59}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 800 + 100 59}{2 ( - 5 )}, x_{2} = \frac{- 800 - 100 59}{2 ( - 5 )}

x = \frac{- 800 + 100 59}{2 ( - 5 )} : 10 (8 - 59)

x = \frac{- 800 - 100 59}{2 ( - 5 )} : 10 (8 + 59)

The solutions to the quadratic equation are:

x = 10 (8 - 59), x = 10 (8 + 59)

\frac{3}{5} x^{2} - 1 = 2

x^{2} - 19 x

3 x^{2} - x - 2 = 0

- x^{2} + 16 x - 63 = 0

m^{2} - 12 m + 26 = 0

What are the solutions to the equation -0.5x^2+80x-250=0 ?
The solutions to the equation -0.5x^2+80x-250=0 are x=10(8-sqrt(59)),x=10(8+sqrt(59))
Find the zeros of -0.5x^2+80x-250=0
The zeros of -0.5x^2+80x-250=0 are x=10(8-sqrt(59)),x=10(8+sqrt(59))