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受欢迎的代数 >

6x+7(5x-4)=6(5x^2-1)

解答

6 x + 7 (5 x - 4) = 6 (5 x^{2} - 1)

解答

x = \frac{41}{60} + i \frac{959}{60}, x = \frac{41}{60} - i \frac{959}{60}

求解步骤

6 x + 7 (5 x - 4) = 6 (5 x^{2} - 1)

展开

6 x + 7 (5 x - 4) : 41 x - 28

展开

6 (5 x^{2} - 1) : 30 x^{2} - 6

41 x - 28 = 30 x^{2} - 6

交换两边

30 x^{2} - 6 = 41 x - 28

将

28

para o lado esquerdo

30 x^{2} + 22 = 41 x

将

41 x

para o lado esquerdo

30 x^{2} + 22 - 41 x = 0

改写成标准形式

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

30 x^{2} - 41 x + 22 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 41 ) \pm ( - 41 ) ^{2} - 4 \cdot 30 \cdot 22}{2 \cdot 30}

化简

(- 41)^{2} - 4 \cdot 30 \cdot 22 : 959 i

x_{1, 2} = \frac{- ( - 41 ) \pm 959 i}{2 \cdot 30}

将解分隔开

x_{1} = \frac{- ( - 41 ) + 959 i}{2 \cdot 30}, x_{2} = \frac{- ( - 41 ) - 959 i}{2 \cdot 30}

x = \frac{- ( - 41 ) + 959 i}{2 \cdot 30} : \frac{41}{60} + i \frac{959}{60}

x = \frac{- ( - 41 ) - 959 i}{2 \cdot 30} : \frac{41}{60} - i \frac{959}{60}

二次方程组的解是:

x = \frac{41}{60} + i \frac{959}{60}, x = \frac{41}{60} - i \frac{959}{60}

作图

流行的例子

3 x^{2} = 18 x - 6 x^{2}

化简 216^{-4/3}

s im pl i f y 21 6^{- \frac{4}{3}}

因式分解 2n^2-11n-6

f a c t or 2 n^{2} - 11 n - 6

因式分解 48y^2-3x^4y^2

f a c t or 48 y^{2} - 3 x^{4} y^{2}

3 x^{2} = 24