What are the solutions to the equation -0.5x^2+50x-600=0 ?

The solutions to the equation -0.5x^2+50x-600=0 are x=10(5-sqrt(13)),x=10(5+sqrt(13))

Find the zeros of -0.5x^2+50x-600=0

The zeros of -0.5x^2+50x-600=0 are x=10(5-sqrt(13)),x=10(5+sqrt(13))

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- 0.5 x^{2} + 50 x - 600 = 0

x = 10 (5 - 13), x = 10 (5 + 13)

Decimal Notation

x = 13.94448 \dots, x = 86.05551 \dots

Solution steps

- 0.5 x^{2} + 50 x - 600 = 0

Multiply both sides by

10

- 5 x^{2} + 500 x - 6000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 500 \pm 50 0 ^{2} - 4 ( - 5 ) ( - 6000 )}{2 ( - 5 )}

50 0^{2} - 4 (- 5) (- 6000) = 10013

x_{1, 2} = \frac{- 500 \pm 100 13}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 500 + 100 13}{2 ( - 5 )}, x_{2} = \frac{- 500 - 100 13}{2 ( - 5 )}

x = \frac{- 500 + 100 13}{2 ( - 5 )} : 10 (5 - 13)

x = \frac{- 500 - 100 13}{2 ( - 5 )} : 10 (5 + 13)

The solutions to the quadratic equation are:

x = 10 (5 - 13), x = 10 (5 + 13)

x, 0 = 1.47 x^{2} - 13.2 x + 12.86

x, f (2 x - 1) = 4 x^{2} - 4 x + 5

8 q^{2} + 8 q - 4 = 3 q^{2}

d^{2} - 2 d - 4 = 0

x, x^{2} - k x + 1 = 0

What are the solutions to the equation -0.5x^2+50x-600=0 ?
The solutions to the equation -0.5x^2+50x-600=0 are x=10(5-sqrt(13)),x=10(5+sqrt(13))
Find the zeros of -0.5x^2+50x-600=0
The zeros of -0.5x^2+50x-600=0 are x=10(5-sqrt(13)),x=10(5+sqrt(13))