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人気のある代数 >

x^2-(1/5)x=-(7/10)

解

x^{2} - (\frac{1}{5}) x = - (\frac{7}{10})

解

x = \frac{1}{10} + i \frac{69}{10}, x = \frac{1}{10} - i \frac{69}{10}

解答ステップ

x^{2} - (\frac{1}{5}) x = - (\frac{7}{10})

改良

x^{2} - \frac{1}{5} x = - \frac{7}{10}

\frac{7}{10}

を左側に移動します

x^{2} - \frac{1}{5} x + \frac{7}{10} = 0

標準的な形式で書く

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

x^{2} - \frac{x}{5} + \frac{7}{10} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{1}{5} ) \pm ( - \frac{1}{5} ) ^{2} - 4 \cdot 1 \cdot \frac{7}{10}}{2 \cdot 1}

簡素化

(- \frac{1}{5})^{2} - 4 \cdot 1 \cdot \frac{7}{10} : i \frac{69}{5}

x_{1, 2} = \frac{- ( - \frac{1}{5} ) \pm i \frac{69}{5}}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - \frac{1}{5} ) + i \frac{69}{5}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{1}{5} ) - i \frac{69}{5}}{2 \cdot 1}

x = \frac{- ( - \frac{1}{5} ) + i \frac{69}{5}}{2 \cdot 1} : \frac{1}{10} + i \frac{69}{10}

x = \frac{- ( - \frac{1}{5} ) - i \frac{69}{5}}{2 \cdot 1} : \frac{1}{10} - i \frac{69}{10}

二次equationの解:

x = \frac{1}{10} + i \frac{69}{10}, x = \frac{1}{10} - i \frac{69}{10}

グラフ

人気の例

10 x^{2} = 1 + 3 x

w^{2} + 750 - 1504 = 0

因数-2x^2=7x-15

f a c t or - 2 x^{2} = 7 x - 15

4 x^{2} + 63 x - 16 = 0

solvefor x,f(x+h)=(x+h)^2

so l v e f or x, f (x + h) = (x + h)^{2}