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人気のある代数 >

(2n-8)x^2+9x=18

解

(2 n - 8) x^{2} + 9 x = 18

解

x = \frac{- 9 + 3 16 n - 55}{2 ( 2 n - 8 )}, x = \frac{- 9 - 3 16 n - 55}{2 ( 2 n - 8 )}; n \neq = 4

解答ステップ

(2 n - 8) x^{2} + 9 x = 18

18

を左側に移動します

(2 n - 8) x^{2} + 9 x - 18 = 0

解くとthe二次式

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 ( 2 n - 8 ) ( - 18 )}{2 ( 2 n - 8 )}

簡素化

9^{2} - 4 (2 n - 8) (- 18) : 3 16 n - 55

x_{1, 2} = \frac{- 9 \pm 3 16 n - 55}{2 ( 2 n - 8 )}; n \neq = 4

解を分離する

x_{1} = \frac{- 9 + 3 16 n - 55}{2 ( 2 n - 8 )}, x_{2} = \frac{- 9 - 3 16 n - 55}{2 ( 2 n - 8 )}

x = \frac{- 9 + 3 16 n - 55}{2 ( 2 n - 8 )}; n \neq = 4

x = \frac{- 9 - 3 16 n - 55}{2 ( 2 n - 8 )}; n \neq = 4

二次equationの解:

x = \frac{- 9 + 3 16 n - 55}{2 ( 2 n - 8 )}, x = \frac{- 9 - 3 16 n - 55}{2 ( 2 n - 8 )}; n \neq = 4

グラフ

人気の例

3 x^{2} + 24 x - 24 = 0

solvefor x,4x^2+4y^2+z^2=16

so l v e f or x, 4 x^{2} + 4 y^{2} + z^{2} = 16

[-x-3]^2=5-2[-x]

[- x - 3]^{2} = 5 - 2 [- x]

4 + x (x - 4) = x

solvefor x,2x^2+3y^2-x+3y+6=0

so l v e f or x, 2 x^{2} + 3 y^{2} - x + 3 y + 6 = 0