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人気のある Geometry >

solvefor x,x^2+400x+p(x)^2+250p=60000

解

解く

x, x^{2} + 400 x + p (x)^{2} + 250 p = 60000

解

x = \frac{- 400 + - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}, x = \frac{- 400 - - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}; p \neq = - 1

解答ステップ

x^{2} + 400 x + p x^{2} + 250 p = 60000

60000

を左側に移動します

x^{2} + 400 x + p x^{2} + 250 p - 60000 = 0

標準的な形式で書く

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

(1 + p) x^{2} + 400 x + 250 p - 60000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 400 \pm 40 0 ^{2} - 4 ( 1 + p ) ( 250 p - 60000 )}{2 ( 1 + p )}

簡素化

40 0^{2} - 4 (1 + p) (250 p - 60000) : - 1000 p^{2} + 239000 p + 400000

x_{1, 2} = \frac{- 400 \pm - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}; p \neq = - 1

解を分離する

x_{1} = \frac{- 400 + - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}, x_{2} = \frac{- 400 - - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}

x = \frac{- 400 + - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}; p \neq = - 1

x = \frac{- 400 - - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}; p \neq = - 1

二次equationの解:

x = \frac{- 400 + - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}, x = \frac{- 400 - - 1000 p ^{2} + 239000 p + 400000}{2 ( 1 + p )}; p \neq = - 1

グラフ

人気の例

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