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受欢迎的代数 >

根-6a^2+6b^2+ax+7bx+2x^2

解答

根

- 6 a^{2} + 6 b^{2} + a x + 7 b x + 2 x^{2}

解答

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

求解步骤

- 6 a^{2} + 6 b^{2} + a x + 7 b x + 2 x^{2}

根与 X 轴相交

(y = 0)

- 6 a^{2} + 6 b^{2} + a x + 7 b x + 2 x^{2} = 0

改写成标准形式

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

2 x^{2} + (a + 7 b) x - 6 a^{2} + 6 b^{2} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( a + 7 b ) \pm ( a + 7 b ) ^{2} - 4 \cdot 2 ( - 6 a ^{2} + 6 b ^{2} )}{2 \cdot 2}

化简

(a + 7 b)^{2} - 4 \cdot 2 (- 6 a^{2} + 6 b^{2}) : 7 a + b

x_{1, 2} = \frac{- ( a + 7 b ) \pm ( 7 a + b )}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( a + 7 b ) + 7 a + b}{2 \cdot 2}, x_{2} = \frac{- ( a + 7 b ) - ( 7 a + b )}{2 \cdot 2}

x = \frac{- ( a + 7 b ) + 7 a + b}{2 \cdot 2} : \frac{3 ( a - b )}{2}

x = \frac{- ( a + 7 b ) - ( 7 a + b )}{2 \cdot 2} : - 2 (a + b)

二次方程组的解是:

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

作图

流行的例子

(x - 3)^{2} - 10 = 0

roo t s x^{2} - 12 x + c

220900x^2-4760x+16=0

220900 x^{2} - 4760 x + 16 = 0

z^{2} - 3 z + 4 = 0

solvefor y,3x^2+2xy+5y^2=24

so l v e f or y, 3 x^{2} + 2 x y + 5 y^{2} = 24