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人気のある代数 >

solvefor x,P(x-3)=x^2+mx+4

解

解く

x, P (x - 3) = x^{2} + m x + 4

解

x = \frac{- m + P + ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}, x = \frac{- m + P - ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}

解答ステップ

P (x - 3) = x^{2} + m x + 4

拡張

P (x - 3) : x P - 3 P

x P - 3 P = x^{2} + m x + 4

辺を交換する

x^{2} + m x + 4 = x P - 3 P

3 P

を左側に移動します

x^{2} + m x + 4 + 3 P = x P

x P

を左側に移動します

x^{2} + m x + 4 + 3 P - x P = 0

標準的な形式で書く

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

x^{2} + (m - P) x + 4 + 3 P = 0

解くとthe二次式

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

簡素化

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

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

解を分離する

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

x = \frac{- ( m - P ) + ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2 \cdot 1} : \frac{- m + P + ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}

x = \frac{- ( m - P ) - ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2 \cdot 1} : \frac{- m + P - ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}

二次equationの解:

x = \frac{- m + P + ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}, x = \frac{- m + P - ( m - P ) ^{2} - 4 ( 4 + 3 P )}{2}

グラフ

人気の例

4 m^{2} + 4 m = 63

0.02w^2-0.3w-20=0

0.02 w^{2} - 0.3 w - 20 = 0

36k^2+36k^2+36k^2=(24sqrt(3))^2

36 k^{2} + 36 k^{2} + 36 k^{2} = (243)^{2}

solvefor x,xy-3y-x^2+16=0

so l v e f or x, x y - 3 y - x^{2} + 16 = 0

3 x^{2} - 96 x + 600 = 0