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人気のある代数 >

x^2+a^2-bx+ab=0

解

x^{2} + a^{2} - b x + ab = 0

解

x = \frac{b + b ^{2} - 4 ( a ^{2} + ab )}{2}, x = \frac{b - b ^{2} - 4 ( a ^{2} + ab )}{2}

解答ステップ

x^{2} + a^{2} - b x + ab = 0

標準的な形式で書く

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

x^{2} - b x + a^{2} + ab = 0

解くとthe二次式

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

簡素化

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

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

解を分離する

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

x = \frac{- ( - b ) + b ^{2} - 4 ( a ^{2} + ab )}{2 \cdot 1} : \frac{b + b ^{2} - 4 ( a ^{2} + ab )}{2}

x = \frac{- ( - b ) - b ^{2} - 4 ( a ^{2} + ab )}{2 \cdot 1} : \frac{b - b ^{2} - 4 ( a ^{2} + ab )}{2}

二次equationの解:

x = \frac{b + b ^{2} - 4 ( a ^{2} + ab )}{2}, x = \frac{b - b ^{2} - 4 ( a ^{2} + ab )}{2}

グラフ

人気の例

3 + 5 d = 4 d^{2}

(2 r - 5)^{2} = 0

21k^2+4k=-3+6k+9k^2

21 k^{2} + 4 k = - 3 + 6 k + 9 k^{2}

3 a^{2} - 27 = 0

x^{2} - 8 x = 9 x - 12