What are the solutions to the equation x=60x-0.01*x^2 ?

The solutions to the equation x=60x-0.01*x^2 are x=0,x=5900

Find the zeros of x=60x-0.01*x^2

The zeros of x=60x-0.01*x^2 are x=0,x=5900

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x = 60 x - 0.01 \cdot x^{2}

x = 0, x = 5900

Solution steps

x = 60 x - 0.01 x^{2}

Multiply both sides by

100

x \cdot 100 = 6000 x - x^{2}

Switch sides

6000 x - x^{2} = x \cdot 100

Move

x 100

to the left side

- x^{2} + 5900 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5900 \pm 590 0 ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

590 0^{2} - 4 (- 1) \cdot 0 = 5900

x_{1, 2} = \frac{- 5900 \pm 5900}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 5900 + 5900}{2 ( - 1 )}, x_{2} = \frac{- 5900 - 5900}{2 ( - 1 )}

x = \frac{- 5900 + 5900}{2 ( - 1 )} : 0

x = \frac{- 5900 - 5900}{2 ( - 1 )} : 5900

The solutions to the quadratic equation are:

x = 0, x = 5900

4 x^{2} - 9 x = 71

1 x^{2} - 2 x = 0

4 x^{2} + 25 = 16 x

C = 3 x^{2} - 200 x + 5250.55

x^{2} - 18 x - 81 = - 161

What are the solutions to the equation x=60x-0.01*x^2 ?
The solutions to the equation x=60x-0.01*x^2 are x=0,x=5900
Find the zeros of x=60x-0.01*x^2
The zeros of x=60x-0.01*x^2 are x=0,x=5900