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人気のある代数 >

x^2+(m+1)x+16=0

解

x^{2} + (m + 1) x + 16 = 0

解

x = \frac{- m - 1 + m ^{2} + 2 m - 63}{2}, x = \frac{- m - 1 - m ^{2} + 2 m - 63}{2}

解答ステップ

x^{2} + (m + 1) x + 16 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( m + 1 ) \pm ( m + 1 ) ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

簡素化

(m + 1)^{2} - 4 \cdot 1 \cdot 16 : m^{2} + 2 m - 63

x_{1, 2} = \frac{- ( m + 1 ) \pm m ^{2} + 2 m - 63}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( m + 1 ) + m ^{2} + 2 m - 63}{2 \cdot 1}, x_{2} = \frac{- ( m + 1 ) - m ^{2} + 2 m - 63}{2 \cdot 1}

x = \frac{- ( m + 1 ) + m ^{2} + 2 m - 63}{2 \cdot 1} : \frac{- m - 1 + m ^{2} + 2 m - 63}{2}

x = \frac{- ( m + 1 ) - m ^{2} + 2 m - 63}{2 \cdot 1} : \frac{- m - 1 - m ^{2} + 2 m - 63}{2}

二次equationの解:

x = \frac{- m - 1 + m ^{2} + 2 m - 63}{2}, x = \frac{- m - 1 - m ^{2} + 2 m - 63}{2}

グラフ

人気の例

λ^2+aλ-2a^2=0

λ^{2} + aλ - 2 a^{2} = 0

(18-x)^2+(5-x)^2=81

(18 - x)^{2} + (5 - x)^{2} = 81

m^{2} + 3 = 51

solvefor x,f={x^2}

so l v e f or x, f = {x^{2}}

x^{2} + 14 x = - 46