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人気のある代数 >

x^2+(m+3)*x+(m+6)=0

解

x^{2} + (m + 3) \cdot x + (m + 6) = 0

解

x = \frac{- m - 3 + m ^{2} + 2 m - 15}{2}, x = \frac{- m - 3 - m ^{2} + 2 m - 15}{2}

解答ステップ

x^{2} + (m + 3) x + (m + 6) = 0

拡張

x^{2} + (m + 3) x + (m + 6) : x^{2} + m x + 3 x + m + 6

x^{2} + m x + 3 x + m + 6 = 0

標準的な形式で書く

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

x^{2} + (m + 3) x + m + 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( m + 3 ) \pm ( m + 3 ) ^{2} - 4 \cdot 1 \cdot ( m + 6 )}{2 \cdot 1}

簡素化

(m + 3)^{2} - 4 \cdot 1 \cdot (m + 6) : m^{2} + 2 m - 15

x_{1, 2} = \frac{- ( m + 3 ) \pm m ^{2} + 2 m - 15}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( m + 3 ) + m ^{2} + 2 m - 15}{2 \cdot 1}, x_{2} = \frac{- ( m + 3 ) - m ^{2} + 2 m - 15}{2 \cdot 1}

x = \frac{- ( m + 3 ) + m ^{2} + 2 m - 15}{2 \cdot 1} : \frac{- m - 3 + m ^{2} + 2 m - 15}{2}

x = \frac{- ( m + 3 ) - m ^{2} + 2 m - 15}{2 \cdot 1} : \frac{- m - 3 - m ^{2} + 2 m - 15}{2}

二次equationの解:

x = \frac{- m - 3 + m ^{2} + 2 m - 15}{2}, x = \frac{- m - 3 - m ^{2} + 2 m - 15}{2}

グラフ

人気の例

solvefor x,(y-3x)(x-8y)=0

so l v e f or x, (y - 3 x) (x - 8 y) = 0

solvefor x,z=3*x^2-x*y^2

so l v e f or x, z = 3 \cdot x^{2} - x \cdot y^{2}

solvefor l,a=l^2

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

solvefor x,xy+x^2y^2=c

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

solvefor t,q*3(d)*v=(((t^2))/4+15-3)*m/s

so l v e f or t, q \cdot 3 (d) \cdot v = (\frac{( t ^{2} )}{4} + 15 - 3) \cdot \frac{m}{s}