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受欢迎的代数 >

((5x-4)*(5x+4))/4 =((3x-1)^2-9)/2

解答

\frac{( 5 x - 4 ) \cdot ( 5 x + 4 )}{4} = \frac{( 3 x - 1 ) ^{2} - 9}{2}

解答

x = - \frac{12}{7}, x = 0

+1

十进制

x = - 1.71428 \dots, x = 0

求解步骤

\frac{( 5 x - 4 ) ( 5 x + 4 )}{4} = \frac{( 3 x - 1 ) ^{2} - 9}{2}

找到

4, 2

的最小公倍数:

4

乘以最小公倍数=

4

\frac{( 5 x - 4 ) ( 5 x + 4 )}{4} \cdot 4 = \frac{( 3 x - 1 ) ^{2} - 9}{2} \cdot 4

化简

(5 x - 4) (5 x + 4) = 2 ((3 x - 1)^{2} - 9)

展开

(5 x - 4) (5 x + 4) : 25 x^{2} - 16

展开

2 ((3 x - 1)^{2} - 9) : 18 x^{2} - 12 x - 16

25 x^{2} - 16 = 18 x^{2} - 12 x - 16

交换两边

18 x^{2} - 12 x - 16 = 25 x^{2} - 16

将

16

para o lado esquerdo

18 x^{2} - 12 x = 25 x^{2}

将

25 x^{2}

para o lado esquerdo

- 7 x^{2} - 12 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 7 ) \cdot 0}{2 ( - 7 )}

(- 12)^{2} - 4 (- 7) \cdot 0 = 12

x_{1, 2} = \frac{- ( - 12 ) \pm 12}{2 ( - 7 )}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 12}{2 ( - 7 )}, x_{2} = \frac{- ( - 12 ) - 12}{2 ( - 7 )}

x = \frac{- ( - 12 ) + 12}{2 ( - 7 )} : - \frac{12}{7}

x = \frac{- ( - 12 ) - 12}{2 ( - 7 )} : 0

二次方程组的解是:

x = - \frac{12}{7}, x = 0

作图

流行的例子

12 y^{2} + 23 y + 5 = 0

化简-3/2 x^{-3/2}

s im pl i f y - \frac{3}{2} x^{- \frac{3}{2}}

因式分解 12m^3-14m^2-30m+35

f a c t or 12 m^{3} - 14 m^{2} - 30 m + 35

9 (t + 2) = 3 (3 t - 2)

\frac{1}{5} t^{2} - 36 = 0