What are the solutions to the equation 6x-0.06x^2=0 ?

The solutions to the equation 6x-0.06x^2=0 are x=0,x=100

Find the zeros of 6x-0.06x^2=0

The zeros of 6x-0.06x^2=0 are x=0,x=100

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6 x - 0.06 x^{2} = 0

x = 0, x = 100

Solution steps

6 x - 0.06 x^{2} = 0

Multiply both sides by

100

600 x - 6 x^{2} = 0

Write in the standard form

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

- 6 x^{2} + 600 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

60 0^{2} - 4 (- 6) \cdot 0 = 600

x_{1, 2} = \frac{- 600 \pm 600}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 600 + 600}{2 ( - 6 )}, x_{2} = \frac{- 600 - 600}{2 ( - 6 )}

x = \frac{- 600 + 600}{2 ( - 6 )} : 0

x = \frac{- 600 - 600}{2 ( - 6 )} : 100

The solutions to the quadratic equation are:

x = 0, x = 100

0 = 3 x^{2} + 10 x + 180

y^{2} = 2 y + 15

3 x^{2} + 4 x - 16 = 0

x^{2} + 4 x - 60 = 0

x^{2} + 50 x - 150 = 0

What are the solutions to the equation 6x-0.06x^2=0 ?
The solutions to the equation 6x-0.06x^2=0 are x=0,x=100
Find the zeros of 6x-0.06x^2=0
The zeros of 6x-0.06x^2=0 are x=0,x=100