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受欢迎的代数 >

7x(x-5)=3(x+1)

解答

7 x (x - 5) = 3 (x + 1)

解答

x = \frac{19 + 382}{7}, x = \frac{19 - 382}{7}

+1

十进制

x = 5.50640 \dots, x = - 0.07783 \dots

求解步骤

7 x (x - 5) = 3 (x + 1)

展开

7 x (x - 5) : 7 x^{2} - 35 x

展开

3 (x + 1) : 3 x + 3

7 x^{2} - 35 x = 3 x + 3

将

3

para o lado esquerdo

7 x^{2} - 35 x - 3 = 3 x

将

3 x

para o lado esquerdo

7 x^{2} - 38 x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 38 ) \pm ( - 38 ) ^{2} - 4 \cdot 7 ( - 3 )}{2 \cdot 7}

(- 38)^{2} - 4 \cdot 7 (- 3) = 2382

x_{1, 2} = \frac{- ( - 38 ) \pm 2 382}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- ( - 38 ) + 2 382}{2 \cdot 7}, x_{2} = \frac{- ( - 38 ) - 2 382}{2 \cdot 7}

x = \frac{- ( - 38 ) + 2 382}{2 \cdot 7} : \frac{19 + 382}{7}

x = \frac{- ( - 38 ) - 2 382}{2 \cdot 7} : \frac{19 - 382}{7}

二次方程组的解是:

x = \frac{19 + 382}{7}, x = \frac{19 - 382}{7}

作图

流行的例子

(6 x - 3)^{2} = 59

roo t s x^{2} - 6 x + 25

x^2+(bx)/a =-c/a

x^{2} + \frac{b x}{a} = - \frac{c}{a}

6 b^{2} + 6 b - 6 = b

根-2(x+9)(x-1)

roo t s - 2 (x + 9) (x - 1)