What are the solutions to the equation x-0.5x^2=0 ?

The solutions to the equation x-0.5x^2=0 are x=0,x=2

Find the zeros of x-0.5x^2=0

The zeros of x-0.5x^2=0 are x=0,x=2

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x - 0.5 x^{2} = 0

x = 0, x = 2

Solution steps

x - 0.5 x^{2} = 0

Multiply both sides by

10

10 x - 5 x^{2} = 0

Write in the standard form

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

- 5 x^{2} + 10 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 5 ) \cdot 0}{2 ( - 5 )}

1 0^{2} - 4 (- 5) \cdot 0 = 10

x_{1, 2} = \frac{- 10 \pm 10}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 10 + 10}{2 ( - 5 )}, x_{2} = \frac{- 10 - 10}{2 ( - 5 )}

x = \frac{- 10 + 10}{2 ( - 5 )} : 0

x = \frac{- 10 - 10}{2 ( - 5 )} : 2

The solutions to the quadratic equation are:

x = 0, x = 2

a^{2} + 4 (3 + a) a = 5

3 - x^{2} = 1 - x

2 x^{2} + 8 x - 11 = 0

\frac{1}{3} (u - \frac{3}{2}) (u + \frac{3}{2}) = u (\frac{u}{3} \frac{1}{4})

2 x^{2} - 10 x = 0

What are the solutions to the equation x-0.5x^2=0 ?
The solutions to the equation x-0.5x^2=0 are x=0,x=2
Find the zeros of x-0.5x^2=0
The zeros of x-0.5x^2=0 are x=0,x=2