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受欢迎的代数 >

2(3x^2+5)-6x(2x+4)=19x

解答

2 (3 x^{2} + 5) - 6 x (2 x + 4) = 19 x

解答

x = - \frac{43 + 2089}{12}, x = \frac{2089 - 43}{12}

+1

十进制

x = - 7.39213 \dots, x = 0.22546 \dots

求解步骤

2 (3 x^{2} + 5) - 6 x (2 x + 4) = 19 x

展开

2 (3 x^{2} + 5) - 6 x (2 x + 4) : - 6 x^{2} - 24 x + 10

- 6 x^{2} - 24 x + 10 = 19 x

将

19 x

para o lado esquerdo

- 6 x^{2} - 43 x + 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 43 ) \pm ( - 43 ) ^{2} - 4 ( - 6 ) \cdot 10}{2 ( - 6 )}

(- 43)^{2} - 4 (- 6) \cdot 10 = 2089

x_{1, 2} = \frac{- ( - 43 ) \pm 2089}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- ( - 43 ) + 2089}{2 ( - 6 )}, x_{2} = \frac{- ( - 43 ) - 2089}{2 ( - 6 )}

x = \frac{- ( - 43 ) + 2089}{2 ( - 6 )} : - \frac{43 + 2089}{12}

x = \frac{- ( - 43 ) - 2089}{2 ( - 6 )} : \frac{2089 - 43}{12}

二次方程组的解是:

x = - \frac{43 + 2089}{12}, x = \frac{2089 - 43}{12}

作图

流行的例子

2X^2-10/3 X+4/3 =0

2 X^{2} - \frac{10}{3} X + \frac{4}{3} = 0

7000-2q=0.01q^2+2q+1000

7000 - 2 q = 0.01 q^{2} + 2 q + 1000

solvefor c,ch^3-cc-ch=ch^2

so l v e f or c, c h^{3} - cc - c h = c h^{2}

x^{1} = x^{2}

x + x^{2} = 72