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人気のある代数 >

x^2-ax-2a=0

解

x^{2} - a x - 2 a = 0

解

x = \frac{a + a ^{2} + 8 a}{2}, x = \frac{a - a ^{2} + 8 a}{2}

解答ステップ

x^{2} - a x - 2 a = 0

解くとthe二次式

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

簡素化

(- a)^{2} - 4 \cdot 1 \cdot (- 2 a) : a^{2} + 8 a

x_{1, 2} = \frac{- ( - a ) \pm a ^{2} + 8 a}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - a ) + a ^{2} + 8 a}{2 \cdot 1}, x_{2} = \frac{- ( - a ) - a ^{2} + 8 a}{2 \cdot 1}

x = \frac{- ( - a ) + a ^{2} + 8 a}{2 \cdot 1} : \frac{a + a ^{2} + 8 a}{2}

x = \frac{- ( - a ) - a ^{2} + 8 a}{2 \cdot 1} : \frac{a - a ^{2} + 8 a}{2}

二次equationの解:

x = \frac{a + a ^{2} + 8 a}{2}, x = \frac{a - a ^{2} + 8 a}{2}

グラフ

人気の例

x^{2} - 25 x + 475 = 0

x^{2} + 3^{3} = 31

(11x+13)^2-4(11x+13)-21=0

(11 x + 13)^{2} - 4 (11 x + 13) - 21 = 0

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3 x^{2} - 132 = 0