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人気のある代数 >

abx^2-a^2x-b^2x+ab=0

解

ab x^{2} - a^{2} x - b^{2} x + ab = 0

解

x = \frac{a}{b}, x = \frac{b}{a}; ab \neq = 0

解答ステップ

ab x^{2} - a^{2} x - b^{2} x + ab = 0

標準的な形式で書く

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

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

解くとthe二次式

x_{1, 2} = \frac{- ( - a ^{2} - b ^{2} ) \pm ( - a ^{2} - b ^{2} ) ^{2} - 4 abab}{2 ab}

簡素化

(- a^{2} - b^{2})^{2} - 4 abab : (a + b) (a - b)

x_{1, 2} = \frac{- ( - a ^{2} - b ^{2} ) \pm ( a + b ) ( a - b )}{2 ab}; ab \neq = 0

解を分離する

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

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

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

二次equationの解:

x = \frac{a}{b}, x = \frac{b}{a}; ab \neq = 0

グラフ

人気の例

0.042x^2+x-18=0

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

2 = 3 x^{2} + 1

(x^2+3)2+21=10x^2+30

(x^{2} + 3) 2 + 21 = 10 x^{2} + 30

6 x^{2} = 1 - 5 x

solvefor x,x^2+y^2-4z^2+4x-6y-8z=7

so l v e f or x, x^{2} + y^{2} - 4 z^{2} + 4 x - 6 y - 8 z = 7