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受欢迎的代数 >

solvefor y,m=(y^2-y^1)/(x^2-x^1)

解答

求解

y, m = \frac{y ^{2} - y ^{1}}{x ^{2} - x ^{1}}

解答

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

求解步骤

m = \frac{y ^{2} - y ^{1}}{x ^{2} - x ^{1}}

化简

x^{2} - x^{1} : x^{2} - x

m = \frac{y ^{2} - y ^{1}}{x ^{2} - x}

在两边乘以

x^{2} - x

m (x^{2} - x) = y^{2} - y; x \neq = 1, x \neq = 0

展开

m (x^{2} - x) : m x^{2} - m x

m x^{2} - m x = y^{2} - y; x \neq = 1, x \neq = 0

交换两边

y^{2} - y = m x^{2} - m x; x \neq = 1, x \neq = 0

将

m x

para o lado esquerdo

y^{2} - y + m x = m x^{2}; x \neq = 1, x \neq = 0

将

m x^{2}

para o lado esquerdo

y^{2} - y + m x - m x^{2} = 0; x \neq = 1, x \neq = 0

使用求根公式求解

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

化简

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

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

将解分隔开

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

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

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

二次方程组的解是:

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

作图

流行的例子

solvefor x,-x+3y=2

so l v e f or x, - x + 3 y = 2

solvefor t,t(d)=((12.5)/d)^3

so l v e f or t, t (d) = (\frac{12.5}{d})^{3}

3 x + 5 = 12

solvefor x,3x-4y-13=0

so l v e f or x, 3 x - 4 y - 13 = 0

solvefor x,2x+5y=4

so l v e f or x, 2 x + 5 y = 4