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人気のある代数 >

solvefor x,x^2+(s+t)x+st=0

解

解く

x, x^{2} + (s + t) x + s t = 0

解

x = - t, x = - s

解答ステップ

x^{2} + (s + t) x + s t = 0

解くとthe二次式

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

簡素化

(s + t)^{2} - 4 \cdot 1 \cdot s t : s - t

x_{1, 2} = \frac{- ( s + t ) \pm ( s - t )}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( s + t ) + s - t}{2 \cdot 1}, x_{2} = \frac{- ( s + t ) - ( s - t )}{2 \cdot 1}

x = \frac{- ( s + t ) + s - t}{2 \cdot 1} : - t

x = \frac{- ( s + t ) - ( s - t )}{2 \cdot 1} : - s

二次equationの解:

x = - t, x = - s

グラフ

人気の例

x^{2} - 6 x + 5 = 12

x^{2} - 6 x + 5 = - 8

completesquare x^2+2x-2=0

co m pl e t es q u a re x^{2} + 2 x - 2 = 0

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3 y - 0.03 y^{2} = 0