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受欢迎的代数 >

solvefor x,2x^2-xy+7x+2y-y^2-7=0

解答

求解

x, 2 x^{2} - x y + 7 x + 2 y - y^{2} - 7 = 0

解答

x = \frac{y - 7 + 9 y ^{2} - 30 y + 105}{4}, x = \frac{y - 7 - 9 y ^{2} - 30 y + 105}{4}

求解步骤

2 x^{2} - x y + 7 x + 2 y - y^{2} - 7 = 0

改写成标准形式

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

2 x^{2} + (- y + 7) x + 2 y - y^{2} - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - y + 7 ) \pm ( - y + 7 ) ^{2} - 4 \cdot 2 ( 2 y - y ^{2} - 7 )}{2 \cdot 2}

化简

(- y + 7)^{2} - 4 \cdot 2 (2 y - y^{2} - 7) : 9 y^{2} - 30 y + 105

x_{1, 2} = \frac{- ( - y + 7 ) \pm 9 y ^{2} - 30 y + 105}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - y + 7 ) + 9 y ^{2} - 30 y + 105}{2 \cdot 2}, x_{2} = \frac{- ( - y + 7 ) - 9 y ^{2} - 30 y + 105}{2 \cdot 2}

x = \frac{- ( - y + 7 ) + 9 y ^{2} - 30 y + 105}{2 \cdot 2} : \frac{y - 7 + 9 y ^{2} - 30 y + 105}{4}

x = \frac{- ( - y + 7 ) - 9 y ^{2} - 30 y + 105}{2 \cdot 2} : \frac{y - 7 - 9 y ^{2} - 30 y + 105}{4}

二次方程组的解是:

x = \frac{y - 7 + 9 y ^{2} - 30 y + 105}{4}, x = \frac{y - 7 - 9 y ^{2} - 30 y + 105}{4}

作图

流行的例子

5/2 x^2+2/5 =1-2x

\frac{5}{2} x^{2} + \frac{2}{5} = 1 - 2 x

solvefor x,f(x+1)=3x^2+4x-3

so l v e f or x, f (x + 1) = 3 x^{2} + 4 x - 3

solvefor x,x^2=t^2+8

so l v e f or x, x^{2} = t^{2} + 8

solvefor x,(p-2)*x^2+3x+5=0

so l v e f or x, (p - 2) \cdot x^{2} + 3 x + 5 = 0

3 x^{2} + 5 x - 1300 = 0