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受欢迎的代数 >

solvefor y,x^2-18xy+y^2=18

解答

求解

y, x^{2} - 18 x y + y^{2} = 18

解答

y = \frac{18 x + 320 x ^{2} + 72}{2}, y = \frac{18 x - 320 x ^{2} + 72}{2}

求解步骤

x^{2} - 18 x y + y^{2} = 18

将

18

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

y_{1, 2} = \frac{- ( - 18 x ) \pm ( - 18 x ) ^{2} - 4 \cdot 1 \cdot ( x ^{2} - 18 )}{2 \cdot 1}

化简

(- 18 x)^{2} - 4 \cdot 1 \cdot (x^{2} - 18) : 320 x^{2} + 72

y_{1, 2} = \frac{- ( - 18 x ) \pm 320 x ^{2} + 72}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( - 18 x ) + 320 x ^{2} + 72}{2 \cdot 1}, y_{2} = \frac{- ( - 18 x ) - 320 x ^{2} + 72}{2 \cdot 1}

y = \frac{- ( - 18 x ) + 320 x ^{2} + 72}{2 \cdot 1} : \frac{18 x + 320 x ^{2} + 72}{2}

y = \frac{- ( - 18 x ) - 320 x ^{2} + 72}{2 \cdot 1} : \frac{18 x - 320 x ^{2} + 72}{2}

二次方程组的解是:

y = \frac{18 x + 320 x ^{2} + 72}{2}, y = \frac{18 x - 320 x ^{2} + 72}{2}

作图

流行的例子

roo t s x^{2} - 6 x + c

2 d^{2} + 4 = 5 d

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

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6 x^{2} + 3 (- x + 2)^{2} - 12 = 0