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人気のある代数 >

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

解

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

解

x = 0, x = a + 1; a \neq = 1

解答ステップ

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

辺を交換する

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

a^{2} x

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

x_{1, 2} = \frac{- ( 1 - a ^{2} ) \pm ( 1 - a ^{2} ) ^{2} - 4 ( a - 1 ) \cdot 0}{2 ( a - 1 )}

簡素化

(1 - a^{2})^{2} - 4 (a - 1) \cdot 0 : - a^{2} + 1

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

解を分離する

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

x = \frac{- ( 1 - a ^{2} ) - a ^{2} + 1}{2 ( a - 1 )} : 0

x = \frac{- ( 1 - a ^{2} ) - ( - a ^{2} + 1 )}{2 ( a - 1 )} : a + 1

二次equationの解:

x = 0, x = a + 1; a \neq = 1

グラフ

人気の例

solvefor x,k*x^2-10x+3=0

so l v e f or x, k \cdot x^{2} - 10 x + 3 = 0

x^{2} + 10.5 x - 18 = 0

c=3x^2-320x+9000

c = 3 x^{2} - 320 x + 9000

sqrt(2)*x^2+4x+2sqrt(2)=0

2 \cdot x^{2} + 4 x + 22 = 0

solvefor u,u^2+v^2=r^2

so l v e f or u, u^{2} + v^{2} = r^{2}