ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある Geometry >

solvefor x,x=5-12.5(t(x)+2)+(10.4(t(x)+2)^2)/2

解

解く

x, x = 5 - 12.5 (t (x) + 2) + \frac{10.4 ( t ( x ) + 2 ) ^{2}}{2}

解

x = \frac{- 83 t + 10 + 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}, x = \frac{- 83 t + 10 - 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}; t \neq = 0

解答ステップ

x = 5 - 12.5 (t (x) + 2) + \frac{10.4 ( t ( x ) + 2 ) ^{2}}{2}

以下で両辺を乗じる:

10

x \cdot 10 = 50 - 125 (x t + 2) + 52 (x t + 2)^{2}

拡張

50 - 125 (x t + 2) + 52 (x t + 2)^{2} : 52 x^{2} t^{2} + 83 x t + 8

x \cdot 10 = 52 x^{2} t^{2} + 83 x t + 8

辺を交換する

52 x^{2} t^{2} + 83 x t + 8 = x \cdot 10

x 10

を左側に移動します

52 x^{2} t^{2} + 83 x t + 8 - x \cdot 10 = 0

標準的な形式で書く

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

52 t^{2} x^{2} + (83 t - 10) x + 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 83 t - 10 ) \pm ( 83 t - 10 ) ^{2} - 4 \cdot 52 t ^{2} \cdot 8}{2 \cdot 52 t ^{2}}

簡素化

(83 t - 10)^{2} - 4 \cdot 52 t^{2} \cdot 8 : 5225 t^{2} - 1660 t + 100

x_{1, 2} = \frac{- ( 83 t - 10 ) \pm 5225 t ^{2} - 1660 t + 100}{2 \cdot 52 t ^{2}}; t \neq = 0

解を分離する

x_{1} = \frac{- ( 83 t - 10 ) + 5225 t ^{2} - 1660 t + 100}{2 \cdot 52 t ^{2}}, x_{2} = \frac{- ( 83 t - 10 ) - 5225 t ^{2} - 1660 t + 100}{2 \cdot 52 t ^{2}}

x = \frac{- ( 83 t - 10 ) + 5225 t ^{2} - 1660 t + 100}{2 \cdot 52 t ^{2}} : \frac{- 83 t + 10 + 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}

x = \frac{- ( 83 t - 10 ) - 5225 t ^{2} - 1660 t + 100}{2 \cdot 52 t ^{2}} : \frac{- 83 t + 10 - 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}

二次equationの解:

x = \frac{- 83 t + 10 + 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}, x = \frac{- 83 t + 10 - 5225 t ^{2} - 1660 t + 100}{104 t ^{2}}; t \neq = 0

グラフ

人気の例

x^2-10x-63y=-25-63

x^{2} - 10 x - 63 y = - 25 - 63

y^2-28x-16y+8=0

y^{2} - 28 x - 16 y + 8 = 0

x + y^{2} - 3 > 0

- x + y^{2} - 2 y + 2 = 0

0 = x^{2} + 4 x - 4 y + 8