What are the solutions to the equation 7000-2Q=0.01Q^2+2Q+1000 ?

The solutions to the equation 7000-2Q=0.01Q^2+2Q+1000 are Q=600,Q=-1000

Find the zeros of 7000-2Q=0.01Q^2+2Q+1000

The zeros of 7000-2Q=0.01Q^2+2Q+1000 are Q=600,Q=-1000

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7000 - 2 Q = 0.01 Q^{2} + 2 Q + 1000

Q = 600, Q = - 1000

Solution steps

7000 - 2 Q = 0.01 Q^{2} + 2 Q + 1000

Multiply both sides by

100

700000 - 200 Q = Q^{2} + 200 Q + 100000

Switch sides

Q^{2} + 200 Q + 100000 = 700000 - 200 Q

Move

200 Q

to the left side

Q^{2} + 400 Q + 100000 = 700000

Move

700000

to the left side

Q^{2} + 400 Q - 600000 = 0

Solve with the quadratic formula

Q_{1, 2} = \frac{- 400 \pm 40 0 ^{2} - 4 \cdot 1 \cdot ( - 600000 )}{2 \cdot 1}

40 0^{2} - 4 \cdot 1 \cdot (- 600000) = 1600

Q_{1, 2} = \frac{- 400 \pm 1600}{2 \cdot 1}

Separate the solutions

Q_{1} = \frac{- 400 + 1600}{2 \cdot 1}, Q_{2} = \frac{- 400 - 1600}{2 \cdot 1}

Q = \frac{- 400 + 1600}{2 \cdot 1} : 600

Q = \frac{- 400 - 1600}{2 \cdot 1} : - 1000

The solutions to the quadratic equation are:

Q = 600, Q = - 1000

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

A, A (x) A (y) = A (x + y)

n^{2} + 4 n - 12 = 0

m^{2} + 2 m + 32 = 0

- 3 x^{2} - 6 x = - 4

What are the solutions to the equation 7000-2Q=0.01Q^2+2Q+1000 ?
The solutions to the equation 7000-2Q=0.01Q^2+2Q+1000 are Q=600,Q=-1000
Find the zeros of 7000-2Q=0.01Q^2+2Q+1000
The zeros of 7000-2Q=0.01Q^2+2Q+1000 are Q=600,Q=-1000