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人気のある代数 >

(n-1)x^2+5x-n=4+5n

解

(n - 1) x^{2} + 5 x - n = 4 + 5 n

解

x = \frac{- 5 + 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}, x = \frac{- 5 - 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}; n \neq = 1

解答ステップ

(n - 1) x^{2} + 5 x - n = 4 + 5 n

5 n

を左側に移動します

n x^{2} - x^{2} + 5 x - 6 n = 4

4

を左側に移動します

n x^{2} - x^{2} + 5 x - 6 n - 4 = 0

標準的な形式で書く

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

(n - 1) x^{2} + 5 x - 6 n - 4 = 0

解くとthe二次式

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( n - 1 ) ( - 6 n - 4 )}{2 ( n - 1 )}

簡素化

5^{2} - 4 (n - 1) (- 6 n - 4) : 24 n^{2} - 8 n + 9

x_{1, 2} = \frac{- 5 \pm 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}; n \neq = 1

解を分離する

x_{1} = \frac{- 5 + 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}, x_{2} = \frac{- 5 - 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}

x = \frac{- 5 + 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}; n \neq = 1

x = \frac{- 5 - 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}; n \neq = 1

二次equationの解:

x = \frac{- 5 + 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}, x = \frac{- 5 - 24 n ^{2} - 8 n + 9}{2 ( n - 1 )}; n \neq = 1

グラフ

人気の例

20q+100=400-q^2

20 q + 100 = 400 - q^{2}

4.905x^2-20x+4=0

4.905 x^{2} - 20 x + 4 = 0

(x + 10)^{2} - 32 = 0

7.3x^2-14.5x-49=0

7.3 x^{2} - 14.5 x - 49 = 0

71x^2-102x-333=0

71 x^{2} - 102 x - 333 = 0