What are the solutions to the equation 76*10^{-12}s^2+30*10^{-4}s+820=0 ?

The solutions to the equation 76*10^{-12}s^2+30*10^{-4}s+820=0 are

Find the zeros of 76*10^{-12}s^2+30*10^{-4}s+820=0

The zeros of 76*10^{-12}s^2+30*10^{-4}s+820=0 are

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76 \cdot 1 0^{- 12} s^{2} + 30 \cdot 1 0^{- 4} s + 820 = 0

s = \frac{125000000 ( 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}, s = \frac{125000000 ( - 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}

Decimal Notation

s = - 275252.68908 \dots, s = - 39198431.52144 \dots

Solution steps

76 \cdot 1 0^{- 12} s^{2} + 30 \cdot 1 0^{- 4} s + 820 = 0

Expand

76 \cdot 1 0^{- 12} s^{2} + 30 \cdot 1 0^{- 4} s + 820 : \frac{19}{250000000000} s^{2} + \frac{3}{1000} s + 820

\frac{19}{250000000000} s^{2} + \frac{3}{1000} s + 820 = 0

Write in the standard form

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

\frac{19 s ^{2}}{250000000000} + \frac{3 s}{1000} + 820 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- \frac{3}{1000} \pm ( \frac{3}{1000} ) ^{2} - 4 \cdot \frac{19}{250000000000} \cdot 820}{2 \cdot \frac{19}{250000000000}}

(\frac{3}{1000})^{2} - 4 \cdot \frac{19}{250000000000} \cdot 820 = \frac{9}{1000000} - \frac{779}{3125000000}

s_{1, 2} = \frac{- \frac{3}{1000} \pm \frac{9}{1000000} - \frac{779}{3125000000}}{2 \cdot \frac{19}{250000000000}}

Separate the solutions

s_{1} = \frac{- \frac{3}{1000} + \frac{9}{1000000} - \frac{779}{3125000000}}{2 \cdot \frac{19}{250000000000}}, s_{2} = \frac{- \frac{3}{1000} - \frac{9}{1000000} - \frac{779}{3125000000}}{2 \cdot \frac{19}{250000000000}}

s = \frac{- \frac{3}{1000} + \frac{9}{1000000} - \frac{779}{3125000000}}{2 \frac{19}{250000000000}} : \frac{125000000 ( 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}

s = \frac{- \frac{3}{1000} - \frac{9}{1000000} - \frac{779}{3125000000}}{2 \frac{19}{250000000000}} : \frac{125000000 ( - 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}

The solutions to the quadratic equation are:

s = \frac{125000000 ( 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}, s = \frac{125000000 ( - 1000 \frac{9}{1000000} - \frac{779}{3125000000} - 3 )}{19}

ab + 2 a + 3 b + 6

\frac{1}{4} x^{2} - 1 = 15

\frac{n - 5}{2} = 5

3^{0} + 2^{0}

2 x^{2} - x - 15

What are the solutions to the equation 76*10^{-12}s^2+30*10^{-4}s+820=0 ?
The solutions to the equation 76*10^{-12}s^2+30*10^{-4}s+820=0 are
Find the zeros of 76*10^{-12}s^2+30*10^{-4}s+820=0
The zeros of 76*10^{-12}s^2+30*10^{-4}s+820=0 are