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受欢迎的代数 >

solvefor y,0=3y-2xy-3y^2

解答

求解

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

解答

y = 0, y = \frac{3 - 2 x}{3}

求解步骤

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

交换两边

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

改写成标准形式

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

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

使用求根公式求解

y_{1, 2} = \frac{- ( 3 - 2 x ) \pm ( 3 - 2 x ) ^{2} - 4 ( - 3 ) \cdot 0}{2 ( - 3 )}

化简

(3 - 2 x)^{2} - 4 (- 3) \cdot 0 : - 2 x + 3

y_{1, 2} = \frac{- ( 3 - 2 x ) \pm ( - 2 x + 3 )}{2 ( - 3 )}

将解分隔开

y_{1} = \frac{- ( 3 - 2 x ) - 2 x + 3}{2 ( - 3 )}, y_{2} = \frac{- ( 3 - 2 x ) - ( - 2 x + 3 )}{2 ( - 3 )}

y = \frac{- ( 3 - 2 x ) - 2 x + 3}{2 ( - 3 )} : 0

y = \frac{- ( 3 - 2 x ) - ( - 2 x + 3 )}{2 ( - 3 )} : \frac{3 - 2 x}{3}

二次方程组的解是:

y = 0, y = \frac{3 - 2 x}{3}

作图

流行的例子

solvefor x,ax^2+bx=-c

so l v e f or x, a x^{2} + b x = - c

4 x^{2} + 10 x - 15 = 0

x^{2} - 10 \cdot x + 24 = 0

60t+1.05t^2=800

60 t + 1.05 t^{2} = 800

quadraticformula 9x^2=10x+2

q u a d r a t i c f or m u l a 9 x^{2} = 10 x + 2