What are the solutions to the equation 30000=450x-1.5x^2 ?

The solutions to the equation 30000=450x-1.5x^2 are x=100,x=200

Find the zeros of 30000=450x-1.5x^2

The zeros of 30000=450x-1.5x^2 are x=100,x=200

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

30000 = 450 x - 1.5 x^{2}

x = 100, x = 200

Solution steps

30000 = 450 x - 1.5 x^{2}

Multiply both sides by

10

300000 = 4500 x - 15 x^{2}

Switch sides

4500 x - 15 x^{2} = 300000

Move

300000

to the left side

4500 x - 15 x^{2} - 300000 = 0

Write in the standard form

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

- 15 x^{2} + 4500 x - 300000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4500 \pm 450 0 ^{2} - 4 ( - 15 ) ( - 300000 )}{2 ( - 15 )}

450 0^{2} - 4 (- 15) (- 300000) = 1500

x_{1, 2} = \frac{- 4500 \pm 1500}{2 ( - 15 )}

Separate the solutions

x_{1} = \frac{- 4500 + 1500}{2 ( - 15 )}, x_{2} = \frac{- 4500 - 1500}{2 ( - 15 )}

x = \frac{- 4500 + 1500}{2 ( - 15 )} : 100

x = \frac{- 4500 - 1500}{2 ( - 15 )} : 200

The solutions to the quadratic equation are:

x = 100, x = 200

2 x^{2} + 24 x + 22 = 0

- 2 x^{2} + 8 x + 5 = 0

12 x^{2} - 400 x + 2500 = 0

(2 - x)^{2} - 1 = 0

- x^{2} + 2 x + 3 = x + 1

What are the solutions to the equation 30000=450x-1.5x^2 ?
The solutions to the equation 30000=450x-1.5x^2 are x=100,x=200
Find the zeros of 30000=450x-1.5x^2
The zeros of 30000=450x-1.5x^2 are x=100,x=200