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人気のある代数 >

solvefor m,Lm^2+Rm+1/c =0

解

解く

m, L m^{2} + R m + \frac{1}{c} = 0

解

m = \frac{- c R + c ^{2} R ^{2} - 4 L c}{2 L c}, m = \frac{- c R - c ^{2} R ^{2} - 4 L c}{2 L c}; L c \neq = 0

解答ステップ

L m^{2} + R m + \frac{1}{c} = 0

以下で両辺を乗じる:

c

L c m^{2} + c R m + 1 = 0; c \neq = 0

解くとthe二次式

m_{1, 2} = \frac{- c R \pm ( c R ) ^{2} - 4 L c \cdot 1}{2 L c}

簡素化

(c R)^{2} - 4 L c \cdot 1 : c^{2} R^{2} - 4 L c

m_{1, 2} = \frac{- c R \pm c ^{2} R ^{2} - 4 L c}{2 L c}; L c \neq = 0

解を分離する

m_{1} = \frac{- c R + c ^{2} R ^{2} - 4 L c}{2 L c}, m_{2} = \frac{- c R - c ^{2} R ^{2} - 4 L c}{2 L c}

m = \frac{- c R + c ^{2} R ^{2} - 4 L c}{2 L c}; L c \neq = 0

m = \frac{- c R - c ^{2} R ^{2} - 4 L c}{2 L c}; L c \neq = 0

二次equationの解:

m = \frac{- c R + c ^{2} R ^{2} - 4 L c}{2 L c}, m = \frac{- c R - c ^{2} R ^{2} - 4 L c}{2 L c}; L c \neq = 0

グラフ

人気の例

4 x^{2} - 28 x + 65 = 0

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(m-2)x^2+(3m-5)x-m+7=0

(m - 2) x^{2} + (3 m - 5) x - m + 7 = 0

y^{2} - 4 y - 32 = 0

120 = 50 t - 5 t^{2}