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人気のある代数 >

G(x)=-0.003x^2+6x-1700

解

G (x) = - 0.003 x^{2} + 6 x - 1700

解

x = - \frac{- 6000 + 1000 G + 1000000 G ^{2} - 12000000 G + 15600000}{6}, x = - \frac{- 6000 + 1000 G - 1000000 G ^{2} - 12000000 G + 15600000}{6}

解答ステップ

G (x) = - 0.003 x^{2} + 6 x - 1700

以下で両辺を乗じる:

1000

G x \cdot 1000 = - 3 x^{2} + 6000 x - 1700000

辺を交換する

- 3 x^{2} + 6000 x - 1700000 = G x \cdot 1000

G x 1000

を左側に移動します

- 3 x^{2} + 6000 x - 1700000 - G x \cdot 1000 = 0

標準的な形式で書く

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

- 3 x^{2} + (6000 - G \cdot 1000) x - 1700000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 6000 - G \cdot 1000 ) \pm ( 6000 - G \cdot 1000 ) ^{2} - 4 ( - 3 ) ( - 1700000 )}{2 ( - 3 )}

簡素化

(6000 - G \cdot 1000)^{2} - 4 (- 3) (- 1700000) : 1000000 G^{2} - 12000000 G + 15600000

x_{1, 2} = \frac{- ( 6000 - G \cdot 1000 ) \pm 1000000 G ^{2} - 12000000 G + 15600000}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( 6000 - G \cdot 1000 ) + 1000000 G ^{2} - 12000000 G + 15600000}{2 ( - 3 )}, x_{2} = \frac{- ( 6000 - G \cdot 1000 ) - 1000000 G ^{2} - 12000000 G + 15600000}{2 ( - 3 )}

x = \frac{- ( 6000 - G 1000 ) + 1000000 G ^{2} - 12000000 G + 15600000}{2 ( - 3 )} : - \frac{- 6000 + 1000 G + 1000000 G ^{2} - 12000000 G + 15600000}{6}

x = \frac{- ( 6000 - G 1000 ) - 1000000 G ^{2} - 12000000 G + 15600000}{2 ( - 3 )} : - \frac{- 6000 + 1000 G - 1000000 G ^{2} - 12000000 G + 15600000}{6}

二次equationの解:

x = - \frac{- 6000 + 1000 G + 1000000 G ^{2} - 12000000 G + 15600000}{6}, x = - \frac{- 6000 + 1000 G - 1000000 G ^{2} - 12000000 G + 15600000}{6}

グラフ

人気の例

266=0.68*100*X*1.79*(4.75-0.4*X)

266 = 0.68 \cdot 100 \cdot X \cdot 1.79 \cdot (4.75 - 0.4 \cdot X)

2 x^{2} + 9 - 10 = 0

- 5 x^{2} - 40 x + 45 = 0

completesquare 2x^2-8x+4

co m pl e t es q u a re 2 x^{2} - 8 x + 4

solvefor x,F=2xy^2x+(y+2yx^2)y

so l v e f or x, F = 2 x y^{2} x + (y + 2 y x^{2}) y