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人気のある代数 >

solvefor p,x^2-(2p-1)x+p^2-p-6=0

解

解く

p, x^{2} - (2 p - 1) x + p^{2} - p - 6 = 0

解

p = x + 3, p = x - 2

解答ステップ

x^{2} - (2 p - 1) x + p^{2} - p - 6 = 0

拡張

x^{2} - (2 p - 1) x + p^{2} - p - 6 : x^{2} - 2 x p + x + p^{2} - p - 6

x^{2} - 2 x p + x + p^{2} - p - 6 = 0

標準的な形式で書く

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

p^{2} - (2 x + 1) p + x^{2} + x - 6 = 0

解くとthe二次式

p_{1, 2} = \frac{- ( - 2 x - 1 ) \pm ( - 2 x - 1 ) ^{2} - 4 \cdot 1 \cdot ( x ^{2} + x - 6 )}{2 \cdot 1}

(- 2 x - 1)^{2} - 4 \cdot 1 \cdot (x^{2} + x - 6) = 5

p_{1, 2} = \frac{- ( - 2 x - 1 ) \pm 5}{2 \cdot 1}

解を分離する

p_{1} = \frac{- ( - 2 x - 1 ) + 5}{2 \cdot 1}, p_{2} = \frac{- ( - 2 x - 1 ) - 5}{2 \cdot 1}

p = \frac{- ( - 2 x - 1 ) + 5}{2 \cdot 1} : x + 3

p = \frac{- ( - 2 x - 1 ) - 5}{2 \cdot 1} : x - 2

二次equationの解:

p = x + 3, p = x - 2

グラフ

人気の例

(x + 1)^{2} - 2 = 0

x^{2} - 12 x - 5 = 0

x^{2} - 12 x - 5 = 7

36 = \frac{x ^{2} - x}{2}

(x-3)^2+(x+4)^2-(x-5)^2=17x+24

(x - 3)^{2} + (x + 4)^{2} - (x - 5)^{2} = 17 x + 24