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人気のある代数 >

solvefor p,p^1(v^1)/(t^1)=p^2(v^2)/(t^2)

解

解く

p, p^{1} \frac{v ^{1}}{t ^{1}} = p^{2} \frac{v ^{2}}{t ^{2}}

解

p = \frac{t}{v}, p = 0; \frac{v ^{2}}{t ^{2}} \neq = 0

解答ステップ

p^{1} \frac{v ^{1}}{t ^{1}} = p^{2} \frac{v ^{2}}{t ^{2}}

拡張

p^{1} \frac{v ^{1}}{t ^{1}} : \frac{p v}{t}

拡張

p^{2} \frac{v ^{2}}{t ^{2}} : \frac{p ^{2} v ^{2}}{t ^{2}}

\frac{p v}{t} = \frac{p ^{2} v ^{2}}{t ^{2}}

辺を交換する

\frac{p ^{2} v ^{2}}{t ^{2}} = \frac{p v}{t}

\frac{p v}{t}

を左側に移動します

\frac{p ^{2} v ^{2}}{t ^{2}} - \frac{p v}{t} = 0

標準的な形式で書く

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

\frac{v ^{2} p ^{2}}{t ^{2}} - \frac{v p}{t} = 0

解くとthe二次式

p_{1, 2} = \frac{- ( - \frac{v}{t} ) \pm ( - \frac{v}{t} ) ^{2} - 4 \cdot \frac{v ^{2}}{t ^{2}} \cdot 0}{2 \cdot \frac{v ^{2}}{t ^{2}}}

簡素化

(- \frac{v}{t})^{2} - 4 \cdot \frac{v ^{2}}{t ^{2}} \cdot 0 : \frac{v}{t}

p_{1, 2} = \frac{- ( - \frac{v}{t} ) \pm \frac{v}{t}}{2 \cdot \frac{v ^{2}}{t ^{2}}}; \frac{v ^{2}}{t ^{2}} \neq = 0

解を分離する

p_{1} = \frac{- ( - \frac{v}{t} ) + \frac{v}{t}}{2 \cdot \frac{v ^{2}}{t ^{2}}}, p_{2} = \frac{- ( - \frac{v}{t} ) - \frac{v}{t}}{2 \cdot \frac{v ^{2}}{t ^{2}}}

p = \frac{- ( - \frac{v}{t} ) + \frac{v}{t}}{2 \frac{v ^{2}}{t ^{2}}} : \frac{t}{v}

p = \frac{- ( - \frac{v}{t} ) - \frac{v}{t}}{2 \frac{v ^{2}}{t ^{2}}} : 0

二次equationの解:

p = \frac{t}{v}, p = 0; \frac{v ^{2}}{t ^{2}} \neq = 0

グラフ

人気の例

(x + 1) - x (x - 3) = 6

x^{2} + 20 x + 99 = 0

3 x^{2} = 8 x

completesquare x^2-2x-5=0

co m pl e t es q u a re x^{2} - 2 x - 5 = 0

2 y^{2} - y = 0