What are the solutions to the equation -0.5x^2+2000x+6000000=7500000 ?

The solutions to the equation -0.5x^2+2000x+6000000=7500000 are x=1000,x=3000

Find the zeros of -0.5x^2+2000x+6000000=7500000

The zeros of -0.5x^2+2000x+6000000=7500000 are x=1000,x=3000

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- 0.5 x^{2} + 2000 x + 6000000 = 7500000

x = 1000, x = 3000

Solution steps

- 0.5 x^{2} + 2000 x + 6000000 = 7500000

Multiply both sides by

10

- 5 x^{2} + 20000 x + 60000000 = 75000000

Move

75000000

to the left side

- 5 x^{2} + 20000 x - 15000000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20000 \pm 2000 0 ^{2} - 4 ( - 5 ) ( - 15000000 )}{2 ( - 5 )}

2000 0^{2} - 4 (- 5) (- 15000000) = 10000

x_{1, 2} = \frac{- 20000 \pm 10000}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 20000 + 10000}{2 ( - 5 )}, x_{2} = \frac{- 20000 - 10000}{2 ( - 5 )}

x = \frac{- 20000 + 10000}{2 ( - 5 )} : 1000

x = \frac{- 20000 - 10000}{2 ( - 5 )} : 3000

The solutions to the quadratic equation are:

x = 1000, x = 3000

- 2 x^{2} + 7 x - 7 = 0

7 x^{2} - 4 x + 3 = 0

x (x - 2) = x (1 - x)

(x + 1)^{2} + (x - 2)^{2} = 15

- 8 x^{2} - 3 x - 2 = - 10 x^{2}

What are the solutions to the equation -0.5x^2+2000x+6000000=7500000 ?
The solutions to the equation -0.5x^2+2000x+6000000=7500000 are x=1000,x=3000
Find the zeros of -0.5x^2+2000x+6000000=7500000
The zeros of -0.5x^2+2000x+6000000=7500000 are x=1000,x=3000