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人気のある代数 >

3x^2-5x=-8

解

3 x^{2} - 5 x = - 8

解

x = \frac{5}{6} + i \frac{71}{6}, x = \frac{5}{6} - i \frac{71}{6}

解答ステップ

3 x^{2} - 5 x = - 8

8

を左側に移動します

3 x^{2} - 5 x + 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

簡素化

(- 5)^{2} - 4 \cdot 3 \cdot 8 : 71 i

x_{1, 2} = \frac{- ( - 5 ) \pm 71 i}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 5 ) + 71 i}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 71 i}{2 \cdot 3}

x = \frac{- ( - 5 ) + 71 i}{2 \cdot 3} : \frac{5}{6} + i \frac{71}{6}

x = \frac{- ( - 5 ) - 71 i}{2 \cdot 3} : \frac{5}{6} - i \frac{71}{6}

二次equationの解:

x = \frac{5}{6} + i \frac{71}{6}, x = \frac{5}{6} - i \frac{71}{6}

グラフ

人気の例

z^{2} + 2 z - 15 = - 3 z

(2x-1)^2-(x-3)(x+5)=(2x+3)(2x-3)

(2 x - 1)^{2} - (x - 3) (x + 5) = (2 x + 3) (2 x - 3)

3 x^{2} + 7 x + 5 = 3 x + 4

solvefor x,3yx^2-x^2+3=0

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

x^{2} + 8 x + 8 + 8 = 0