Question

$$\left. \begin{array} { l } { - \sqrt { 3 } 8600000 } \\ { - 35 p 00 ^ { 2 } } \\ { - 3 p h ^ { 2 } } = - \frac { 1 } { 2 } \end{array} \right.$$

Answer

$$v=-(Si*sqrt(2))/(4*Di*e*(si*sqrt(3)*n^3-cos(n))*IM*d^2*g*b^2*o*t*h*s*y)$$

Solution


Cancel \(n\) on both sides.
\[2Div\imath d\imath gboths\imath deby\times 2\times \frac{\sqrt{3}sinnn-\cos{n}}{2}=\frac{\sqrt{2}}{2}Si\]
Regroup terms.
\[2Div\imath d\imath gboths\imath deby\times 2\times \frac{nnn\sqrt{3}si-\cos{n}}{2}=\frac{\sqrt{2}}{2}Si\]
Simplify  \(nnn\sqrt{3}si\)  to  \({n}^{3}\sqrt{3}si\).
\[2Div\imath d\imath gboths\imath deby\times 2\times \frac{{n}^{3}\sqrt{3}si-\cos{n}}{2}=\frac{\sqrt{2}}{2}Si\]
Regroup terms.
\[2Div\imath d\imath gboths\imath deby\times 2\times \frac{si\sqrt{3}{n}^{3}-\cos{n}}{2}=\frac{\sqrt{2}}{2}Si\]
Cancel \(2\).
\[Div\imath d\imath gboths\imath deby\times 2(si\sqrt{3}{n}^{3}-\cos{n})=\frac{\sqrt{2}}{2}Si\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Div{\imath }^{3}{d}^{2}g{b}^{2}othsey\times 2(si\sqrt{3}{n}^{3}-\cos{n})=\frac{\sqrt{2}}{2}Si\]
Isolate \({\imath }^{2}\).
\[Div{\imath }^{2}\imath {d}^{2}g{b}^{2}othsey\times 2(si\sqrt{3}{n}^{3}-\cos{n})=\frac{\sqrt{2}}{2}Si\]
Use Square Rule: \({i}^{2}=-1\).
\[Div\times -1\times \imath {d}^{2}g{b}^{2}othsey\times 2(si\sqrt{3}{n}^{3}-\cos{n})=\frac{\sqrt{2}}{2}Si\]
Simplify  \(Div\times -1\times \imath {d}^{2}g{b}^{2}othsey\times 2(si\sqrt{3}{n}^{3}-\cos{n})\)  to  \(-2v{d}^{2}g{b}^{2}othsyDi\imath e(si\sqrt{3}{n}^{3}-\cos{n})\).
\[-2v{d}^{2}g{b}^{2}othsyDi\imath e(si\sqrt{3}{n}^{3}-\cos{n})=\frac{\sqrt{2}}{2}Si\]
Regroup terms.
\[-2Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=\frac{\sqrt{2}}{2}Si\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[-2Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=\frac{\sqrt{2}Si}{2}\]
Regroup terms.
\[-2Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=\frac{Si\sqrt{2}}{2}\]
Divide both sides by \(-2\).
\[Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{2}}{2}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{2}}{2}\)  to  \(\frac{Si\sqrt{2}}{2\times 2}\).
\[Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{2\times 2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[Die(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{4}\]
Divide both sides by \(Di\).
\[e(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4}}{Di}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4}}{Di}\)  to  \(\frac{Si\sqrt{2}}{4Di}\).
\[e(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Di}\]
Divide both sides by \(e\).
\[(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4Di}}{e}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Di}}{e}\)  to  \(\frac{Si\sqrt{2}}{4Die}\).
\[(si\sqrt{3}{n}^{3}-\cos{n})\imath v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Die}\]
Divide both sides by \(si\sqrt{3}{n}^{3}-\cos{n}\).
\[\imath v{d}^{2}g{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4Die}}{si\sqrt{3}{n}^{3}-\cos{n}}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die}}{si\sqrt{3}{n}^{3}-\cos{n}}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})}\).
\[\imath v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})}\]
Divide both sides by \(\imath \).
\[v{d}^{2}g{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})}}{\imath }\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})}}{\imath }\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath }\).
\[v{d}^{2}g{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath }\]
Divide both sides by \({d}^{2}\).
\[vg{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath }}{{d}^{2}}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath }}{{d}^{2}}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}}\).
\[vg{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}}\]
Divide both sides by \(g\).
\[v{b}^{2}othsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}}}{g}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}}}{g}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g}\).
\[v{b}^{2}othsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g}\]
Divide both sides by \({b}^{2}\).
\[vothsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g}}{{b}^{2}}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g}}{{b}^{2}}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}}\).
\[vothsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}}\]
Divide both sides by \(o\).
\[vthsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}}}{o}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}}}{o}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}o}\).
\[vthsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}o}\]
Divide both sides by \(t\).
\[vhsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}o}}{t}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}o}}{t}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}ot}\).
\[vhsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}ot}\]
Divide both sides by \(h\).
\[vsy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}ot}}{h}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}ot}}{h}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oth}\).
\[vsy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oth}\]
Divide both sides by \(s\).
\[vy=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oth}}{s}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oth}}{s}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oths}\).
\[vy=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oths}\]
Divide both sides by \(y\).
\[v=-\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oths}}{y}\]
Simplify  \(\frac{\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}oths}}{y}\)  to  \(\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}othsy}\).
\[v=-\frac{Si\sqrt{2}}{4Die(si\sqrt{3}{n}^{3}-\cos{n})\imath {d}^{2}g{b}^{2}othsy}\]