What are the solutions to the equation 0=2000x^2+1000.01x-23/5860 ?

The solutions to the equation 0=2000x^2+1000.01x-23/5860 are

Find the zeros of 0=2000x^2+1000.01x-23/5860

The zeros of 0=2000x^2+1000.01x-23/5860 are

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0 = 2000 x^{2} + 1000.01 x - \frac{23}{5860}

x = \frac{- 100001 + 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}, x = \frac{- 100001 - 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}

Decimal Notation

x = 3.92484 E - 6, x = - 0.50000 \dots

Solution steps

0 = 2000 x^{2} + 1000.01 x - \frac{23}{5860}

Multiply both sides by

100

0 = 200000 x^{2} + 100001 x - \frac{115}{293}

Multiply both sides by

293

0 = 58600000 x^{2} + 29300293 x - 115

Switch sides

58600000 x^{2} + 29300293 x - 115 = 0

Divide both sides by

58600000

\frac{58600000 x ^{2}}{58600000} + \frac{29300293 x}{58600000} - \frac{115}{58600000} = \frac{0}{58600000}

Write in the standard form

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

x^{2} + \frac{100001 x}{200000} - \frac{23}{11720000} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- \frac{100001}{200000} \pm ( \frac{100001}{200000} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{23}{11720000} )}{2 \cdot 1}

(\frac{100001}{200000})^{2} - 4 \cdot 1 \cdot (- \frac{23}{11720000}) = \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}

x_{1, 2} = \frac{- \frac{100001}{200000} \pm \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- \frac{100001}{200000} + \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{2 \cdot 1}, x_{2} = \frac{- \frac{100001}{200000} - \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{2 \cdot 1}

x = \frac{- \frac{100001}{200000} + \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{2 \cdot 1} : \frac{- 100001 + 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}

x = \frac{- \frac{100001}{200000} - \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{2 \cdot 1} : \frac{- 100001 - 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}

The solutions to the quadratic equation are:

x = \frac{- 100001 + 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}, x = \frac{- 100001 - 200000 \frac{10000 1 ^{2}}{20000 0 ^{2}} + \frac{23}{2930000}}{400000}

- 9 x + 5 < 17 and 13 x + 25 < - 1

x^{2} + 7 x - 7 = 0

\frac{1}{4} a^{3} b - \frac{3}{5} a^{3} b + \frac{1}{6} a^{3} b

f = - (\frac{3}{2})^{5}

w^{2} - 10 w + 21

What are the solutions to the equation 0=2000x^2+1000.01x-23/5860 ?
The solutions to the equation 0=2000x^2+1000.01x-23/5860 are
Find the zeros of 0=2000x^2+1000.01x-23/5860
The zeros of 0=2000x^2+1000.01x-23/5860 are