What are the solutions to the equation 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) ?

The solutions to the equation 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) are

Find the zeros of 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2)

The zeros of 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) are

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2 = - 35 \cdot (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2})

x = \frac{- 0.004435312 + 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}, x = \frac{- 0.004435312 - 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}

Solution steps

2 = - 35 (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2})

Expand

- 35 (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2}) : \frac{70 x}{0.00796} + \frac{35 x ^{2}}{0.0000633616}

2 = \frac{70 x}{0.00796} + \frac{35 x ^{2}}{0.0000633616}

Switch sides

\frac{70 x}{0.00796} + \frac{35 x ^{2}}{0.0000633616} = 2

Move

2

to the left side

\frac{70 x}{0.00796} + \frac{35 x ^{2}}{0.0000633616} - 2 = 0

Divide both sides by

552385.04078 \dots

\frac{\frac{70 x}{0.00796}}{552385.04078 \dots} + \frac{\frac{35 x ^{2}}{0.0000633616}}{552385.04078 \dots} - \frac{2}{552385.04078 \dots} = \frac{0}{552385.04078 \dots}

Write in the standard form

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

x^{2} + \frac{0.004435312 x}{0.2786} - \frac{1.00872 E - 6}{0.2786} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- \frac{0.004435312}{0.2786} \pm ( \frac{0.004435312}{0.2786} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{1.00872 E - 6}{0.2786} )}{2 \cdot 1}

(\frac{0.004435312}{0.2786})^{2} - 4 \cdot 1 \cdot (- \frac{1.00872 E - 6}{0.2786}) = \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}

x_{1, 2} = \frac{- \frac{0.004435312}{0.2786} \pm \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- \frac{0.004435312}{0.2786} + \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{2 \cdot 1}, x_{2} = \frac{- \frac{0.004435312}{0.2786} - \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{2 \cdot 1}

x = \frac{- \frac{0.004435312}{0.2786} + \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{2 \cdot 1} : \frac{- 0.004435312 + 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}

x = \frac{- \frac{0.004435312}{0.2786} - \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{2 \cdot 1} : \frac{- 0.004435312 - 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}

The solutions to the quadratic equation are:

x = \frac{- 0.004435312 + 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}, x = \frac{- 0.004435312 - 0.2786 \frac{\frac{9.19888 E - 9}{0.07761796} + \frac{1.88676 E - 9}{0.2786}}{0.00046 \dots}}{0.5572}

12 x^{2} - 7 x - 10

(- 125)^{- \frac{1}{3}}

- 5 + 9

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

\frac{π}{2} - \frac{π}{10}

What are the solutions to the equation 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) ?
The solutions to the equation 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) are
Find the zeros of 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2)
The zeros of 2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2) are