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人気のある代数 >

(a+5)x^2+1=(a+2)x

解

(a + 5) x^{2} + 1 = (a + 2) x

解

x = \frac{a + 2 + a ^{2} - 16}{2 ( a + 5 )}, x = \frac{a + 2 - a ^{2} - 16}{2 ( a + 5 )}; a \neq = - 5

解答ステップ

(a + 5) x^{2} + 1 = (a + 2) x

(a + 2) x

を左側に移動します

(a + 5) x^{2} + 1 - (a + 2) x = 0

標準的な形式で書く

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

(a + 5) x^{2} - (a + 2) x + 1 = 0

解くとthe二次式

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

簡素化

(- a - 2)^{2} - 4 (a + 5) \cdot 1 : a^{2} - 16

x_{1, 2} = \frac{- ( - a - 2 ) \pm a ^{2} - 16}{2 ( a + 5 )}; a \neq = - 5

解を分離する

x_{1} = \frac{- ( - a - 2 ) + a ^{2} - 16}{2 ( a + 5 )}, x_{2} = \frac{- ( - a - 2 ) - a ^{2} - 16}{2 ( a + 5 )}

x = \frac{- ( - a - 2 ) + a ^{2} - 16}{2 ( a + 5 )} : \frac{a + 2 + a ^{2} - 16}{2 ( a + 5 )}

x = \frac{- ( - a - 2 ) - a ^{2} - 16}{2 ( a + 5 )} : \frac{a + 2 - a ^{2} - 16}{2 ( a + 5 )}

二次equationの解:

x = \frac{a + 2 + a ^{2} - 16}{2 ( a + 5 )}, x = \frac{a + 2 - a ^{2} - 16}{2 ( a + 5 )}; a \neq = - 5

グラフ

人気の例

x^{2} - 84 = 2 x - 4

solvefor y,2x^2+xy+y^2=4

so l v e f or y, 2 x^{2} + x y + y^{2} = 4

2 w^{2} + 9 w - 10 = 6 w

3 x^{2} + 7 x + 10 = 0

completesquare x^2-2x-3

co m pl e t es q u a re x^{2} - 2 x - 3