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受欢迎的代数 >

2x-(12x+6)=10x(-3x-7)

解答

2 x - (12 x + 6) = 10 x (- 3 x - 7)

解答

x = - \frac{5 + 30}{5}, x = \frac{30 - 5}{5}

+1

十进制

x = - 2.09544 \dots, x = 0.09544 \dots

求解步骤

2 x - (12 x + 6) = 10 x (- 3 x - 7)

展开

2 x - (12 x + 6) : - 10 x - 6

展开

10 x (- 3 x - 7) : - 30 x^{2} - 70 x

- 10 x - 6 = - 30 x^{2} - 70 x

交换两边

- 30 x^{2} - 70 x = - 10 x - 6

将

6

para o lado esquerdo

- 30 x^{2} - 70 x + 6 = - 10 x

将

10 x

para o lado esquerdo

- 30 x^{2} - 60 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 ( - 30 ) \cdot 6}{2 ( - 30 )}

(- 60)^{2} - 4 (- 30) \cdot 6 = 1230

x_{1, 2} = \frac{- ( - 60 ) \pm 12 30}{2 ( - 30 )}

将解分隔开

x_{1} = \frac{- ( - 60 ) + 12 30}{2 ( - 30 )}, x_{2} = \frac{- ( - 60 ) - 12 30}{2 ( - 30 )}

x = \frac{- ( - 60 ) + 12 30}{2 ( - 30 )} : - \frac{5 + 30}{5}

x = \frac{- ( - 60 ) - 12 30}{2 ( - 30 )} : \frac{30 - 5}{5}

二次方程组的解是:

x = - \frac{5 + 30}{5}, x = \frac{30 - 5}{5}

作图

流行的例子

(x + 3)^{2} - 5 = 9

(20+x)(30+x)=1690

(20 + x) (30 + x) = 1690

x^{2} + 3 x + 3 = 10

x(x+2)^2=(x+1)^3+5

x (x + 2)^{2} = (x + 1)^{3} + 5

quadraticformula x^2+2x+4=0

q u a d r a t i c f or m u l a x^{2} + 2 x + 4 = 0