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受欢迎的代数 >

x^2-2(3m+1)x+7(2m+3)=0

解答

x^{2} - 2 (3 m + 1) x + 7 (2 m + 3) = 0

解答

x = 3 m + 1 + 9 m^{2} - 8 m - 20, x = 3 m + 1 - 9 m^{2} - 8 m - 20

求解步骤

x^{2} - 2 (3 m + 1) x + 7 (2 m + 3) = 0

展开

x^{2} - 2 (3 m + 1) x + 7 (2 m + 3) : x^{2} - 6 m x - 2 x + 14 m + 21

x^{2} - 6 m x - 2 x + 14 m + 21 = 0

改写成标准形式

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

x^{2} - (6 m + 2) x + 14 m + 21 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 m - 2 ) \pm ( - 6 m - 2 ) ^{2} - 4 \cdot 1 \cdot ( 14 m + 21 )}{2 \cdot 1}

化简

(- 6 m - 2)^{2} - 4 \cdot 1 \cdot (14 m + 21) : 2 9 m^{2} - 8 m - 20

x_{1, 2} = \frac{- ( - 6 m - 2 ) \pm 2 9 m ^{2} - 8 m - 20}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 6 m - 2 ) + 2 9 m ^{2} - 8 m - 20}{2 \cdot 1}, x_{2} = \frac{- ( - 6 m - 2 ) - 2 9 m ^{2} - 8 m - 20}{2 \cdot 1}

x = \frac{- ( - 6 m - 2 ) + 2 9 m ^{2} - 8 m - 20}{2 \cdot 1} : 3 m + 1 + 9 m^{2} - 8 m - 20

x = \frac{- ( - 6 m - 2 ) - 2 9 m ^{2} - 8 m - 20}{2 \cdot 1} : 3 m + 1 - 9 m^{2} - 8 m - 20

二次方程组的解是:

x = 3 m + 1 + 9 m^{2} - 8 m - 20, x = 3 m + 1 - 9 m^{2} - 8 m - 20

作图

流行的例子

因式分解 5x^2-25x=0

f a c t or 5 x^{2} - 25 x = 0

4 x^{2} + 24 x + 227 = 0

3x^2+2x-4x^2+11=0

3 x^{2} + 2 x - 4 x^{2} + 11 = 0

4 n^{2} - 720 = 0

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