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人気のある代数 >

x^2-(m+7)x+25=0

解

x^{2} - (m + 7) x + 25 = 0

解

x = \frac{m + 7 + m ^{2} + 14 m - 51}{2}, x = \frac{m + 7 - m ^{2} + 14 m - 51}{2}

解答ステップ

x^{2} - (m + 7) x + 25 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - m - 7 ) \pm ( - m - 7 ) ^{2} - 4 \cdot 1 \cdot 25}{2 \cdot 1}

簡素化

(- m - 7)^{2} - 4 \cdot 1 \cdot 25 : m^{2} + 14 m - 51

x_{1, 2} = \frac{- ( - m - 7 ) \pm m ^{2} + 14 m - 51}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - m - 7 ) + m ^{2} + 14 m - 51}{2 \cdot 1}, x_{2} = \frac{- ( - m - 7 ) - m ^{2} + 14 m - 51}{2 \cdot 1}

x = \frac{- ( - m - 7 ) + m ^{2} + 14 m - 51}{2 \cdot 1} : \frac{m + 7 + m ^{2} + 14 m - 51}{2}

x = \frac{- ( - m - 7 ) - m ^{2} + 14 m - 51}{2 \cdot 1} : \frac{m + 7 - m ^{2} + 14 m - 51}{2}

二次equationの解:

x = \frac{m + 7 + m ^{2} + 14 m - 51}{2}, x = \frac{m + 7 - m ^{2} + 14 m - 51}{2}

グラフ

人気の例

15 x^{2} - 31 x + 10 = 0

2 w^{2} + 29 = - 21

s^{2} + 8 s + 16 = 0

(21-y)^2+y^2=221

(21 - y)^{2} + y^{2} = 221

4.6 x = 4 - x^{2}