What are the solutions to the equation x= 1/2 (0.5)(4.2-400x)^2 ?

The solutions to the equation x= 1/2 (0.5)(4.2-400x)^2 are

Find the zeros of x= 1/2 (0.5)(4.2-400x)^2

The zeros of x= 1/2 (0.5)(4.2-400x)^2 are

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x = \frac{1}{2} (0.5) (4.2 - 400 x)^{2}

x = \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}, x = \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

Decimal Notation

x = 0.011025, x = 0.01

Solution steps

x = \frac{1}{2} (0.5) (4.2 - 400 x)^{2}

Multiply both sides by

2

2 x = 0.5 (4.2 - 400 x)^{2}

Expand

0.5 (4.2 - 400 x)^{2} : 8.82 - 1680 x + 80000 x^{2}

2 x = 8.82 - 1680 x + 80000 x^{2}

Switch sides

8.82 - 1680 x + 80000 x^{2} = 2 x

Move

2 x

to the left side

80000 x^{2} - 1682 x + 8.82 = 0

Divide both sides by

80000

\frac{80000 x ^{2}}{80000} - \frac{1682 x}{80000} + \frac{8.82}{80000} = \frac{0}{80000}

Write in the standard form

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

x^{2} - \frac{841 x}{40000} + \frac{8.82}{80000} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - \frac{841}{40000} ) \pm ( - \frac{841}{40000} ) ^{2} - 4 \cdot 1 \cdot \frac{8.82}{80000}}{2 \cdot 1}

(- \frac{841}{40000})^{2} - 4 \cdot 1 \cdot \frac{8.82}{80000} = \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}

x_{1, 2} = \frac{- ( - \frac{841}{40000} ) \pm \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - \frac{841}{40000} ) + \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{841}{40000} ) - \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}

x = \frac{- ( - \frac{841}{40000} ) + \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1} : \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

x = \frac{- ( - \frac{841}{40000} ) - \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1} : \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

The solutions to the quadratic equation are:

x = \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}, x = \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

- 5.6 - 10.4 x + 2.2 x = 11.62

r^{2} - 14 r + 45

4 x^{3} \cdot 2 x^{3}

2 + 5 x - 1 > 5

e^{i \cdot \frac{π}{4}}

What are the solutions to the equation x= 1/2 (0.5)(4.2-400x)^2 ?
The solutions to the equation x= 1/2 (0.5)(4.2-400x)^2 are
Find the zeros of x= 1/2 (0.5)(4.2-400x)^2
The zeros of x= 1/2 (0.5)(4.2-400x)^2 are