What are the solutions to the equation 0.5x^2-600x+100000=0 ?

The solutions to the equation 0.5x^2-600x+100000=0 are x=1000,x=200

Find the zeros of 0.5x^2-600x+100000=0

The zeros of 0.5x^2-600x+100000=0 are x=1000,x=200

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0.5 x^{2} - 600 x + 100000 = 0

x = 1000, x = 200

Solution steps

0.5 x^{2} - 600 x + 100000 = 0

Multiply both sides by

10

5 x^{2} - 6000 x + 1000000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6000 ) \pm ( - 6000 ) ^{2} - 4 \cdot 5 \cdot 1000000}{2 \cdot 5}

(- 6000)^{2} - 4 \cdot 5 \cdot 1000000 = 4000

x_{1, 2} = \frac{- ( - 6000 ) \pm 4000}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 6000 ) + 4000}{2 \cdot 5}, x_{2} = \frac{- ( - 6000 ) - 4000}{2 \cdot 5}

x = \frac{- ( - 6000 ) + 4000}{2 \cdot 5} : 1000

x = \frac{- ( - 6000 ) - 4000}{2 \cdot 5} : 200

The solutions to the quadratic equation are:

x = 1000, x = 200

(x - 10) (x + 10) = 0

(x + 3) (x - 5) = 3 x (3 - 5 x)

n^{2} - n + 1 = 17999

8 x^{2} + 189 x - 72 = 0

9 x^{2} + 7 x + 49 = 0

What are the solutions to the equation 0.5x^2-600x+100000=0 ?
The solutions to the equation 0.5x^2-600x+100000=0 are x=1000,x=200
Find the zeros of 0.5x^2-600x+100000=0
The zeros of 0.5x^2-600x+100000=0 are x=1000,x=200