What are the solutions to the equation (8\times 10^{-3})(2.71775-1950x)^2-x=0 ?

The solutions to the equation (8\times 10^{-3})(2.71775-1950x)^2-x=0 are

Find the zeros of (8\times 10^{-3})(2.71775-1950x)^2-x=0

The zeros of (8\times 10^{-3})(2.71775-1950x)^2-x=0 are

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(8 \cdot 1 0^{- 3}) (2.71775 - 1950 x)^{2} - x = 0

x = \frac{10724.225 + 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}, x = \frac{10724.225 - 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}

Decimal Notation

x = 0.00162 \dots, x = 0.00119 \dots

Solution steps

(8 \cdot 1 0^{- 3}) (2.71775 - 1950 x)^{2} - x = 0

Expand

(8 \cdot 1 0^{- 3}) (2.71775 - 1950 x)^{2} - x : 30420 x^{2} - \frac{10724.225 x}{125} + \frac{7.38616 \dots}{125}

30420 x^{2} - \frac{10724.225 x}{125} + \frac{7.38616 \dots}{125} = 0

Divide both sides by

30420

\frac{30420 x ^{2}}{30420} - \frac{\frac{10724.225 x}{125}}{30420} + \frac{\frac{7.38616 \dots}{125}}{30420} = \frac{0}{30420}

Write in the standard form

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

x^{2} - \frac{10724.225 x}{3802500} + \frac{7.38616 \dots}{3802500} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - \frac{10724.225}{3802500} ) \pm ( - \frac{10724.225}{3802500} ) ^{2} - 4 \cdot 1 \cdot \frac{7.38616 \dots}{3802500}}{2 \cdot 1}

(- \frac{10724.225}{3802500})^{2} - 4 \cdot 1 \cdot \frac{7.38616 \dots}{3802500} = \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}

x_{1, 2} = \frac{- ( - \frac{10724.225}{3802500} ) \pm \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - \frac{10724.225}{3802500} ) + \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{10724.225}{3802500} ) - \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{2 \cdot 1}

x = \frac{- ( - \frac{10724.225}{3802500} ) + \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{2 \cdot 1} : \frac{10724.225 + 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}

x = \frac{- ( - \frac{10724.225}{3802500} ) - \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{2 \cdot 1} : \frac{10724.225 - 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}

The solutions to the quadratic equation are:

x = \frac{10724.225 + 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}, x = \frac{10724.225 - 3802500 \frac{115009001.850625}{380250 0 ^{2}} - \frac{29.54466 \dots}{3802500}}{7605000}

16 p^{2} - 49

\frac{- 4}{4}

\frac{y ^{- 5}}{y ^{- 2}}

\frac{- 3}{\frac{5}{x} + y}

x + 4 x = 5

What are the solutions to the equation (8\times 10^{-3})(2.71775-1950x)^2-x=0 ?
The solutions to the equation (8\times 10^{-3})(2.71775-1950x)^2-x=0 are
Find the zeros of (8\times 10^{-3})(2.71775-1950x)^2-x=0
The zeros of (8\times 10^{-3})(2.71775-1950x)^2-x=0 are