zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor x,j=(4+3x)(8x+s)

解答

求解

x, j = (4 + 3 x) (8 x + s)

解答

x = \frac{- 32 - 3 s + 9 s ^{2} - 192 s + 96 j + 1024}{48}, x = \frac{- 32 - 3 s - 9 s ^{2} - 192 s + 96 j + 1024}{48}

求解步骤

j = (4 + 3 x) (8 x + s)

展开

(4 + 3 x) (8 x + s) : 32 x + 4 s + 24 x^{2} + 3 x s

j = 32 x + 4 s + 24 x^{2} + 3 x s

交换两边

32 x + 4 s + 24 x^{2} + 3 x s = j

将

j

para o lado esquerdo

32 x + 4 s + 24 x^{2} + 3 x s - j = 0

改写成标准形式

a x^{2} + b x + c = 0

24 x^{2} + (32 + 3 s) x + 4 s - j = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 32 + 3 s ) \pm ( 32 + 3 s ) ^{2} - 4 \cdot 24 ( 4 s - j )}{2 \cdot 24}

化简

(32 + 3 s)^{2} - 4 \cdot 24 (4 s - j) : 9 s^{2} - 192 s + 96 j + 1024

x_{1, 2} = \frac{- ( 32 + 3 s ) \pm 9 s ^{2} - 192 s + 96 j + 1024}{2 \cdot 24}

将解分隔开

x_{1} = \frac{- ( 32 + 3 s ) + 9 s ^{2} - 192 s + 96 j + 1024}{2 \cdot 24}, x_{2} = \frac{- ( 32 + 3 s ) - 9 s ^{2} - 192 s + 96 j + 1024}{2 \cdot 24}

x = \frac{- ( 32 + 3 s ) + 9 s ^{2} - 192 s + 96 j + 1024}{2 \cdot 24} : \frac{- 32 - 3 s + 9 s ^{2} - 192 s + 96 j + 1024}{48}

x = \frac{- ( 32 + 3 s ) - 9 s ^{2} - 192 s + 96 j + 1024}{2 \cdot 24} : \frac{- 32 - 3 s - 9 s ^{2} - 192 s + 96 j + 1024}{48}

二次方程组的解是:

x = \frac{- 32 - 3 s + 9 s ^{2} - 192 s + 96 j + 1024}{48}, x = \frac{- 32 - 3 s - 9 s ^{2} - 192 s + 96 j + 1024}{48}

作图

流行的例子

solvefor x,x-y=4y^3-3x^2

so l v e f or x, x - y = 4 y^{3} - 3 x^{2}

(4a)^2+(3a)^2=125^2

(4 a)^{2} + (3 a)^{2} = 12 5^{2}

- 72 = - 18 x^{2}

(q) = 3 q^{2} + 5 q + 10

4.9t^2+12t-171=0

4.9 t^{2} + 12 t - 171 = 0