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受欢迎的代数 >

solvefor y,y^2-y=x^3-x

解答

求解

y, y^{2} - y = x^{3} - x

解答

y = \frac{1 + 1 - 4 ( x - x ^{3} )}{2}, y = \frac{1 - 1 - 4 ( x - x ^{3} )}{2}

求解步骤

y^{2} - y = x^{3} - x

将

x

para o lado esquerdo

y^{2} - y + x = x^{3}

将

x^{3}

para o lado esquerdo

y^{2} - y + x - x^{3} = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( x - x ^{3} )}{2 \cdot 1}

化简

(- 1)^{2} - 4 \cdot 1 \cdot (x - x^{3}) : 1 - 4 (x - x^{3})

y_{1, 2} = \frac{- ( - 1 ) \pm 1 - 4 ( x - x ^{3} )}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( - 1 ) + 1 - 4 ( x - x ^{3} )}{2 \cdot 1}, y_{2} = \frac{- ( - 1 ) - 1 - 4 ( x - x ^{3} )}{2 \cdot 1}

y = \frac{- ( - 1 ) + 1 - 4 ( x - x ^{3} )}{2 \cdot 1} : \frac{1 + 1 - 4 ( x - x ^{3} )}{2}

y = \frac{- ( - 1 ) - 1 - 4 ( x - x ^{3} )}{2 \cdot 1} : \frac{1 - 1 - 4 ( x - x ^{3} )}{2}

二次方程组的解是:

y = \frac{1 + 1 - 4 ( x - x ^{3} )}{2}, y = \frac{1 - 1 - 4 ( x - x ^{3} )}{2}

作图

流行的例子

x^{2} = 0.36

((x+3)(x-1))/3 =((5x-10))/2

\frac{( x + 3 ) ( x - 1 )}{3} = \frac{( 5 x - 10 )}{2}

solvefor m,m^2-n^2=2018

so l v e f or m, m^{2} - n^{2} = 2018

4 x^{2} - 28 x - 4 = 0

x(x+7)=(2x-1)(x+4)

x (x + 7) = (2 x - 1) (x + 4)