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人気のある代数 >

6x^2-10x+9=0

解

6 x^{2} - 10 x + 9 = 0

解

x = \frac{5}{6} + i \frac{29}{6}, x = \frac{5}{6} - i \frac{29}{6}

解答ステップ

6 x^{2} - 10 x + 9 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 6 \cdot 9}{2 \cdot 6}

簡素化

(- 10)^{2} - 4 \cdot 6 \cdot 9 : 229 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 29 i}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 10 ) + 2 29 i}{2 \cdot 6}, x_{2} = \frac{- ( - 10 ) - 2 29 i}{2 \cdot 6}

x = \frac{- ( - 10 ) + 2 29 i}{2 \cdot 6} : \frac{5}{6} + i \frac{29}{6}

x = \frac{- ( - 10 ) - 2 29 i}{2 \cdot 6} : \frac{5}{6} - i \frac{29}{6}

二次equationの解:

x = \frac{5}{6} + i \frac{29}{6}, x = \frac{5}{6} - i \frac{29}{6}

グラフ

人気の例

solvefor x,x^2+(y^2)/2 =z^2

so l v e f or x, x^{2} + \frac{y ^{2}}{2} = z^{2}

-3x^2+8x=((-3)-(-3))/((4)-(0))

- 3 x^{2} + 8 x = \frac{( - 3 ) - ( - 3 )}{( 4 ) - ( 0 )}

solvefor x,2+(2x+3)^2-x=0

so l v e f or x, 2 + (2 x + 3)^{2} - x = 0

1/50 x^2-2/5 x+1=7

\frac{1}{50} x^{2} - \frac{2}{5} x + 1 = 7

p^{2} - 12 p + 9 = 0