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受欢迎的代数 >

solvefor x,3x^2-xy^2=c

解答

求解

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

解答

x = \frac{y ^{2} + y ^{4} + 12 c}{6}, x = \frac{y ^{2} - y ^{4} + 12 c}{6}

求解步骤

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

将

c

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - y ^{2} ) \pm ( - y ^{2} ) ^{2} - 4 \cdot 3 ( - c )}{2 \cdot 3}

化简

(- y^{2})^{2} - 4 \cdot 3 (- c) : y^{4} + 12 c

x_{1, 2} = \frac{- ( - y ^{2} ) \pm y ^{4} + 12 c}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - y ^{2} ) + y ^{4} + 12 c}{2 \cdot 3}, x_{2} = \frac{- ( - y ^{2} ) - y ^{4} + 12 c}{2 \cdot 3}

x = \frac{- ( - y ^{2} ) + y ^{4} + 12 c}{2 \cdot 3} : \frac{y ^{2} + y ^{4} + 12 c}{6}

x = \frac{- ( - y ^{2} ) - y ^{4} + 12 c}{2 \cdot 3} : \frac{y ^{2} - y ^{4} + 12 c}{6}

二次方程组的解是:

x = \frac{y ^{2} + y ^{4} + 12 c}{6}, x = \frac{y ^{2} - y ^{4} + 12 c}{6}

作图

流行的例子

2 (x - 2)^{2} = 12

4 x^{2} - 3 = 9

(x+4)^3-(x-1)^3=343

(x + 4)^{3} - (x - 1)^{3} = 343

x^{2} + 4 b = 0, b < 0

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

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