What are the solutions to the equation y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 ?

The solutions to the equation y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 are

Find the zeros of y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2

The zeros of y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 are

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y = 2.49 \cdot 1 0^{- 3} (1 - \frac{0.5714 - 2000 y}{- 2})^{2}

y = \frac{29611.144 + 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}, y = \frac{29611.144 - 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}

Decimal Notation

y = 0.00223 \dots, y = 0.00074 \dots

Solution steps

y = 2.49 \cdot 1 0^{- 3} (1 - \frac{0.5714 - 2000 y}{- 2})^{2}

Expand

2.49 \cdot 1 0^{- 3} (1 - \frac{0.5714 - 2000 y}{- 2})^{2} : 2490 y^{2} - \frac{25611.144 y}{4000} + \frac{16.46412 \dots}{4000}

y = 2490 y^{2} - \frac{25611.144 y}{4000} + \frac{16.46412 \dots}{4000}

Switch sides

2490 y^{2} - \frac{25611.144 y}{4000} + \frac{16.46412 \dots}{4000} = y

Move

y

to the left side

\frac{9960000 y ^{2} - 29611.144 y + 16.46412 \dots}{4000} = 0

Divide both sides by

2490

\frac{\frac{9960000 y ^{2} - 29611.144 y + 16.46412 \dots}{4000}}{2490} = \frac{0}{2490}

Write in the standard form

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

y^{2} - \frac{29611.144 y}{9960000} + \frac{16.46412 \dots}{9960000} = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - \frac{29611.144}{9960000} ) \pm ( - \frac{29611.144}{9960000} ) ^{2} - 4 \cdot 1 \cdot \frac{16.46412 \dots}{9960000}}{2 \cdot 1}

(- \frac{29611.144}{9960000})^{2} - 4 \cdot 1 \cdot \frac{16.46412 \dots}{9960000} = \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}

y_{1, 2} = \frac{- ( - \frac{29611.144}{9960000} ) \pm \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - \frac{29611.144}{9960000} ) + \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{2 \cdot 1}, y_{2} = \frac{- ( - \frac{29611.144}{9960000} ) - \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{2 \cdot 1}

y = \frac{- ( - \frac{29611.144}{9960000} ) + \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{2 \cdot 1} : \frac{29611.144 + 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}

y = \frac{- ( - \frac{29611.144}{9960000} ) - \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{2 \cdot 1} : \frac{29611.144 - 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}

The solutions to the quadratic equation are:

y = \frac{29611.144 + 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}, y = \frac{29611.144 - 9960000 \frac{876819848.988736}{996000 0 ^{2}} - \frac{65.85649 \dots}{9960000}}{19920000}

x^{2} = 1 2^{2} + 1 2^{2}

3 x^{2} + 12 x + 13

x^{2} + 6 x - 27 = 0

m^{2} + 10 m + 11 = 31

- 2 x^{2} - 12 x + 18 = 0

What are the solutions to the equation y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 ?
The solutions to the equation y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 are
Find the zeros of y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2
The zeros of y=2.49*10^{-3}(1-(0.5714-2000y)/(-2))^2 are