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受欢迎的代数 >

solvefor x,x^2+4xy+y^2=9

解答

求解

x, x^{2} + 4 x y + y^{2} = 9

解答

x = \frac{- 4 y + 12 y ^{2} + 36}{2}, x = \frac{- 4 y - 12 y ^{2} + 36}{2}

求解步骤

x^{2} + 4 x y + y^{2} = 9

将

9

para o lado esquerdo

x^{2} + 4 x y + y^{2} - 9 = 0

改写成标准形式

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

x^{2} + 4 y x + y^{2} - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 y \pm ( 4 y ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} - 9 )}{2 \cdot 1}

化简

(4 y)^{2} - 4 \cdot 1 \cdot (y^{2} - 9) : 12 y^{2} + 36

x_{1, 2} = \frac{- 4 y \pm 12 y ^{2} + 36}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 y + 12 y ^{2} + 36}{2 \cdot 1}, x_{2} = \frac{- 4 y - 12 y ^{2} + 36}{2 \cdot 1}

x = \frac{- 4 y + 12 y ^{2} + 36}{2 \cdot 1} : \frac{- 4 y + 12 y ^{2} + 36}{2}

x = \frac{- 4 y - 12 y ^{2} + 36}{2 \cdot 1} : \frac{- 4 y - 12 y ^{2} + 36}{2}

二次方程组的解是:

x = \frac{- 4 y + 12 y ^{2} + 36}{2}, x = \frac{- 4 y - 12 y ^{2} + 36}{2}

作图

流行的例子

2X^2-6X=6X^2-8X

2 X^{2} - 6 X = 6 X^{2} - 8 X

4 p^{2} - 12 p + 7 = 0

solvefor y,(x+y)^3=x^3+y^3

so l v e f or y, (x + y)^{3} = x^{3} + y^{3}

x^{2} + 8 x + 16 = - 81

2 x^{2} + 3 x = 3