What are the solutions to the equation 1890= 1/10 x(300-x) ?

The solutions to the equation 1890= 1/10 x(300-x) are x=90,x=210

Find the zeros of 1890= 1/10 x(300-x)

The zeros of 1890= 1/10 x(300-x) are x=90,x=210

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1890 = \frac{1}{10} x (300 - x)

x = 90, x = 210

Solution steps

1890 = \frac{1}{10} x (300 - x)

Multiply both sides by

10

18900 = x (300 - x)

Expand

x (300 - x) : 300 x - x^{2}

18900 = 300 x - x^{2}

Switch sides

300 x - x^{2} = 18900

Move

18900

to the left side

300 x - x^{2} - 18900 = 0

Write in the standard form

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

- x^{2} + 300 x - 18900 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 300 \pm 30 0 ^{2} - 4 ( - 1 ) ( - 18900 )}{2 ( - 1 )}

30 0^{2} - 4 (- 1) (- 18900) = 120

x_{1, 2} = \frac{- 300 \pm 120}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 300 + 120}{2 ( - 1 )}, x_{2} = \frac{- 300 - 120}{2 ( - 1 )}

x = \frac{- 300 + 120}{2 ( - 1 )} : 90

x = \frac{- 300 - 120}{2 ( - 1 )} : 210

The solutions to the quadratic equation are:

x = 90, x = 210

x^{2} - 14 x - 31 = 0

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

x^{2} + 5 x + 5

x^{2} + 5 x + 9

6 m^{2} + 3 m + 2 = 0

What are the solutions to the equation 1890= 1/10 x(300-x) ?
The solutions to the equation 1890= 1/10 x(300-x) are x=90,x=210
Find the zeros of 1890= 1/10 x(300-x)
The zeros of 1890= 1/10 x(300-x) are x=90,x=210