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受欢迎的代数 >

abx^2+(3a+2b)x+6=0

解答

ab x^{2} + (3 a + 2 b) x + 6 = 0

解答

x = - \frac{2}{a}, x = - \frac{3}{b}; ab \neq = 0

求解步骤

ab x^{2} + (3 a + 2 b) x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 3 a + 2 b ) \pm ( 3 a + 2 b ) ^{2} - 4 ab \cdot 6}{2 ab}

化简

(3 a + 2 b)^{2} - 4 ab \cdot 6 : 3 a - 2 b

x_{1, 2} = \frac{- ( 3 a + 2 b ) \pm ( 3 a - 2 b )}{2 ab}; ab \neq = 0

将解分隔开

x_{1} = \frac{- ( 3 a + 2 b ) + 3 a - 2 b}{2 ab}, x_{2} = \frac{- ( 3 a + 2 b ) - ( 3 a - 2 b )}{2 ab}

x = \frac{- ( 3 a + 2 b ) + 3 a - 2 b}{2 ab} : - \frac{2}{a}

x = \frac{- ( 3 a + 2 b ) - ( 3 a - 2 b )}{2 ab} : - \frac{3}{b}

二次方程组的解是:

x = - \frac{2}{a}, x = - \frac{3}{b}; ab \neq = 0

作图

流行的例子

solvefor x,x^2+10x+y^2+18y+110=0

so l v e f or x, x^{2} + 10 x + y^{2} + 18 y + 110 = 0

2 x^{2} + 3 x - 18 = 0

x^{2} + x + 5 = 7 + 2 x

solvefor v, 1/2 mv^2= 1/2 kx^2

so l v e f or v, \frac{1}{2} m v^{2} = \frac{1}{2} k x^{2}

4^{2} = 3^{2} + x^{2}