What are the solutions to the equation 120000=350x-0.25x^2 ?

The solutions to the equation 120000=350x-0.25x^2 are x=600,x=800

Find the zeros of 120000=350x-0.25x^2

The zeros of 120000=350x-0.25x^2 are x=600,x=800

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120000 = 350 x - 0.25 x^{2}

x = 600, x = 800

Solution steps

120000 = 350 x - 0.25 x^{2}

Multiply both sides by

100

12000000 = 35000 x - 25 x^{2}

Switch sides

35000 x - 25 x^{2} = 12000000

Move

12000000

to the left side

35000 x - 25 x^{2} - 12000000 = 0

Write in the standard form

a x^{2} + b x + c = 0

- 25 x^{2} + 35000 x - 12000000 = 0

Factor

- 25 x^{2} + 35000 x - 12000000 : - 25 (x - 600) (x - 800)

- 25 (x - 600) (x - 800) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 600 = 0 or x - 800 = 0

Solve

x - 600 = 0 : x = 600

Solve

x - 800 = 0 : x = 800

The solutions to the quadratic equation are:

x = 600, x = 800

x^{2} + 6 x - 36 = 0

y^{2} + 4 y - 3 = 0

3 x^{2} + 5 x + \frac{3}{4} = 0

0 = 2 (x - 3)^{2} + 5

14 x^{2} + 7 x = 0

What are the solutions to the equation 120000=350x-0.25x^2 ?
The solutions to the equation 120000=350x-0.25x^2 are x=600,x=800
Find the zeros of 120000=350x-0.25x^2
The zeros of 120000=350x-0.25x^2 are x=600,x=800