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人気のある代数 >

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

解

解く

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

解

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}

解答ステップ

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

拡張

(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

辺を交換する

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

j

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(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}

解を分離する

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equationの解:

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}

グラフ

人気の例

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