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人気のある代数 >

6x^2+(a-12)x-(a^2+a-6)=0

解

6 x^{2} + (a - 12) x - (a^{2} + a - 6) = 0

解

x = \frac{a + 3}{3}, x = \frac{- a + 2}{2}

解答ステップ

6 x^{2} + (a - 12) x - (a^{2} + a - 6) = 0

拡張

6 x^{2} + (a - 12) x - (a^{2} + a - 6) : 6 x^{2} + a x - 12 x - a^{2} - a + 6

6 x^{2} + a x - 12 x - a^{2} - a + 6 = 0

標準的な形式で書く

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

6 x^{2} + (a - 12) x - a^{2} - a + 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( a - 12 ) \pm ( a - 12 ) ^{2} - 4 \cdot 6 ( - a ^{2} - a + 6 )}{2 \cdot 6}

簡素化

(a - 12)^{2} - 4 \cdot 6 (- a^{2} - a + 6) : 5 a

x_{1, 2} = \frac{- ( a - 12 ) \pm 5 a}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( a - 12 ) + 5 a}{2 \cdot 6}, x_{2} = \frac{- ( a - 12 ) - 5 a}{2 \cdot 6}

x = \frac{- ( a - 12 ) + 5 a}{2 \cdot 6} : \frac{a + 3}{3}

x = \frac{- ( a - 12 ) - 5 a}{2 \cdot 6} : \frac{- a + 2}{2}

二次equationの解:

x = \frac{a + 3}{3}, x = \frac{- a + 2}{2}

グラフ

人気の例

4x^2-4a^2x+(a^4-b^4)=0

4 x^{2} - 4 a^{2} x + (a^{4} - b^{4}) = 0

solvefor x,p^2+q^2=x^2+y^2

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

solvefor y,x^3-x*y^2+3y^2+2=0

so l v e f or y, x^{3} - x \cdot y^{2} + 3 y^{2} + 2 = 0

solvefor x,f(1+x)(x-5)=y

so l v e f or x, f (1 + x) (x - 5) = y

4x^2-2(a^2+b^2)x+a^2b^2=0

4 x^{2} - 2 (a^{2} + b^{2}) x + a^{2} b^{2} = 0