What are the solutions to the equation 0= x/(10)-(x^2)/(1800000) ?

The solutions to the equation 0= x/(10)-(x^2)/(1800000) are x=0,x=180000

Find the zeros of 0= x/(10)-(x^2)/(1800000)

The zeros of 0= x/(10)-(x^2)/(1800000) are x=0,x=180000

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0 = \frac{x}{10} - \frac{x ^{2}}{1800000}

x = 0, x = 180000

Solution steps

0 = \frac{x}{10} - \frac{x ^{2}}{1800000}

Find Least Common Multiplier of

10, 1800000 : 1800000

Multiply by LCM=

1800000

0 \cdot 1800000 = \frac{x}{10} \cdot 1800000 - \frac{x ^{2}}{1800000} \cdot 1800000

Simplify

0 = 180000 x - x^{2}

Switch sides

180000 x - x^{2} = 0

Write in the standard form

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

- x^{2} + 180000 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 180000 \pm 18000 0 ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

18000 0^{2} - 4 (- 1) \cdot 0 = 180000

x_{1, 2} = \frac{- 180000 \pm 180000}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 180000 + 180000}{2 ( - 1 )}, x_{2} = \frac{- 180000 - 180000}{2 ( - 1 )}

x = \frac{- 180000 + 180000}{2 ( - 1 )} : 0

x = \frac{- 180000 - 180000}{2 ( - 1 )} : 180000

The solutions to the quadratic equation are:

x = 0, x = 180000

8 x^{5} + 4 x^{3}

- 4 \geq \frac{2 - 5 x}{4}

\frac{3}{- i}

\frac{45 x ^{5} y ^{2}}{27 x ^{3} y ^{2}}

(\frac{2}{4})^{- 3}

What are the solutions to the equation 0= x/(10)-(x^2)/(1800000) ?
The solutions to the equation 0= x/(10)-(x^2)/(1800000) are x=0,x=180000
Find the zeros of 0= x/(10)-(x^2)/(1800000)
The zeros of 0= x/(10)-(x^2)/(1800000) are x=0,x=180000