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

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

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

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

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

x = 1000, x = 3000

Solution steps

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

Multiply both sides by

10

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

Switch sides

- 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

3 a^{2} - 10 a + 2 = 0

3 x^{2} + 30 x + 75 = 0

x^{2} - 9 x = - 14

x^{2} + 5 x - 20 = 4

x^{2} + x^{2} = 1

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