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人気のある代数 >

200-120x+12x^2=0

解

200 - 120 x + 12 x^{2} = 0

解

x = \frac{5 ( 3 + 3 )}{3}, x = \frac{5 ( 3 - 3 )}{3}

+1

十進法表記

x = 7.88675 \dots, x = 2.11324 \dots

解答ステップ

200 - 120 x + 12 x^{2} = 0

標準的な形式で書く

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

12 x^{2} - 120 x + 200 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 120 ) \pm ( - 120 ) ^{2} - 4 \cdot 12 \cdot 200}{2 \cdot 12}

(- 120)^{2} - 4 \cdot 12 \cdot 200 = 403

x_{1, 2} = \frac{- ( - 120 ) \pm 40 3}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 120 ) + 40 3}{2 \cdot 12}, x_{2} = \frac{- ( - 120 ) - 40 3}{2 \cdot 12}

x = \frac{- ( - 120 ) + 40 3}{2 \cdot 12} : \frac{5 ( 3 + 3 )}{3}

x = \frac{- ( - 120 ) - 40 3}{2 \cdot 12} : \frac{5 ( 3 - 3 )}{3}

二次equationの解:

x = \frac{5 ( 3 + 3 )}{3}, x = \frac{5 ( 3 - 3 )}{3}

グラフ

人気の例

3 x^{2} - 36 x + 60 = 0

x = x^{2} - 4 x + 4

0 = - 12 x^{2} + 3

x^{2} + 14 = 15 x

solvefor s,h(s)=-16s^2+64s+190

so l v e f or s, h (s) = - 16 s^{2} + 64 s + 190