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人気のある代数 >

(x-a+2)(x-a+3)=42

解

(x - a + 2) (x - a + 3) = 42

解

x = a + 4, x = a - 9

解答ステップ

(x - a + 2) (x - a + 3) = 42

拡張

(x - a + 2) (x - a + 3) : - 2 a x + x^{2} + 5 x + a^{2} - 5 a + 6

- 2 a x + x^{2} + 5 x + a^{2} - 5 a + 6 = 42

42

を左側に移動します

x^{2} + 5 x - 2 a x + a^{2} - 5 a - 36 = 0

標準的な形式で書く

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

x^{2} + (5 - 2 a) x + a^{2} - 5 a - 36 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 5 - 2 a ) \pm ( 5 - 2 a ) ^{2} - 4 \cdot 1 \cdot ( a ^{2} - 5 a - 36 )}{2 \cdot 1}

(5 - 2 a)^{2} - 4 \cdot 1 \cdot (a^{2} - 5 a - 36) = 13

x_{1, 2} = \frac{- ( 5 - 2 a ) \pm 13}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( 5 - 2 a ) + 13}{2 \cdot 1}, x_{2} = \frac{- ( 5 - 2 a ) - 13}{2 \cdot 1}

x = \frac{- ( 5 - 2 a ) + 13}{2 \cdot 1} : a + 4

x = \frac{- ( 5 - 2 a ) - 13}{2 \cdot 1} : a - 9

二次equationの解:

x = a + 4, x = a - 9

グラフ

人気の例

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

completesquare x^2-2x+8

co m pl e t es q u a re x^{2} - 2 x + 8

(x - 4)^{2} - 20 = 0

x (x - 1) = 3

solvefor x,x^2+kx+3=0

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