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受欢迎的代数 >

(2x+4)*(x-1)+(3x+5)^2=3(2x+5)^2+x

解答

(2 x + 4) \cdot (x - 1) + (3 x + 5)^{2} = 3 (2 x + 5)^{2} + x

解答

x = - 27, x = - 2

求解步骤

(2 x + 4) (x - 1) + (3 x + 5)^{2} = 3 (2 x + 5)^{2} + x

展开

(2 x + 4) (x - 1) + (3 x + 5)^{2} : 11 x^{2} + 32 x + 21

展开

3 (2 x + 5)^{2} + x : 12 x^{2} + 61 x + 75

11 x^{2} + 32 x + 21 = 12 x^{2} + 61 x + 75

将

75

para o lado esquerdo

11 x^{2} + 32 x - 54 = 12 x^{2} + 61 x

将

61 x

para o lado esquerdo

11 x^{2} - 29 x - 54 = 12 x^{2}

将

12 x^{2}

para o lado esquerdo

- x^{2} - 29 x - 54 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 29 ) \pm ( - 29 ) ^{2} - 4 ( - 1 ) ( - 54 )}{2 ( - 1 )}

(- 29)^{2} - 4 (- 1) (- 54) = 25

x_{1, 2} = \frac{- ( - 29 ) \pm 25}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 29 ) + 25}{2 ( - 1 )}, x_{2} = \frac{- ( - 29 ) - 25}{2 ( - 1 )}

x = \frac{- ( - 29 ) + 25}{2 ( - 1 )} : - 27

x = \frac{- ( - 29 ) - 25}{2 ( - 1 )} : - 2

二次方程组的解是:

x = - 27, x = - 2

作图

流行的例子

- 8 < x - 7 < 8

化简 (12n^5)/(36n)

s im pl i f y \frac{12 n ^{5}}{36 n}

\frac{x}{5} - 3 = - 1

因式分解 2y^2+9y+9

f a c t or 2 y^{2} + 9 y + 9

12 - t^{2} = 0