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人気のある代数 >

C=3x^2-200x+5250.55

解

C = 3 x^{2} - 200 x + 5250.55

解

x = \frac{20000 + 120000 C - 230066000}{600}, x = \frac{20000 - 120000 C - 230066000}{600}

解答ステップ

C = 3 x^{2} - 200 x + 5250.55

以下で両辺を乗じる:

100

C \cdot 100 = 300 x^{2} - 20000 x + 525055

辺を交換する

300 x^{2} - 20000 x + 525055 = C \cdot 100

C 100

を左側に移動します

300 x^{2} - 20000 x + 525055 - C \cdot 100 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 20000 ) \pm ( - 20000 ) ^{2} - 4 \cdot 300 ( 525055 - C \cdot 100 )}{2 \cdot 300}

簡素化

(- 20000)^{2} - 4 \cdot 300 (525055 - C \cdot 100) : 120000 C - 230066000

x_{1, 2} = \frac{- ( - 20000 ) \pm 120000 C - 230066000}{2 \cdot 300}

解を分離する

x_{1} = \frac{- ( - 20000 ) + 120000 C - 230066000}{2 \cdot 300}, x_{2} = \frac{- ( - 20000 ) - 120000 C - 230066000}{2 \cdot 300}

x = \frac{- ( - 20000 ) + 120000 C - 230066000}{2 \cdot 300} : \frac{20000 + 120000 C - 230066000}{600}

x = \frac{- ( - 20000 ) - 120000 C - 230066000}{2 \cdot 300} : \frac{20000 - 120000 C - 230066000}{600}

二次equationの解:

x = \frac{20000 + 120000 C - 230066000}{600}, x = \frac{20000 - 120000 C - 230066000}{600}

グラフ

人気の例

x^2-18x-81=-161

x^{2} - 18 x - 81 = - 161

completesquare x^2-10x+7

co m pl e t es q u a re x^{2} - 10 x + 7

4 d^{2} - d - 3 = - d^{2}

completesquare 2x^2-x-10=0

co m pl e t es q u a re 2 x^{2} - x - 10 = 0

(x) = x^{2} - 6 x + 8