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人気のある代数 >

(k-2)x^2-5x+2k=0.6

解

(k - 2) x^{2} - 5 x + 2 k = 0.6

解

x = \frac{50 + - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}, x = \frac{50 - - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}; k \neq = 2

解答ステップ

(k - 2) x^{2} - 5 x + 2 k = 0.6

以下で両辺を乗じる:

10

10 x^{2} (k - 2) - 50 x + 20 k = 6

拡張

10 x^{2} (k - 2) - 50 x + 20 k : 10 k x^{2} - 20 x^{2} - 50 x + 20 k

10 k x^{2} - 20 x^{2} - 50 x + 20 k = 6

6

を左側に移動します

10 k x^{2} - 20 x^{2} - 50 x + 20 k - 6 = 0

標準的な形式で書く

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

(10 k - 20) x^{2} - 50 x + 20 k - 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 ( 10 k - 20 ) ( 20 k - 6 )}{2 ( 10 k - 20 )}

簡素化

(- 50)^{2} - 4 (10 k - 20) (20 k - 6) : - 800 k^{2} + 1840 k + 2020

x_{1, 2} = \frac{- ( - 50 ) \pm - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}; k \neq = 2

解を分離する

x_{1} = \frac{- ( - 50 ) + - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}, x_{2} = \frac{- ( - 50 ) - - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}

x = \frac{- ( - 50 ) + - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )} : \frac{50 + - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}

x = \frac{- ( - 50 ) - - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )} : \frac{50 - - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}

二次equationの解:

x = \frac{50 + - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}, x = \frac{50 - - 800 k ^{2} + 1840 k + 2020}{2 ( 10 k - 20 )}; k \neq = 2

グラフ

人気の例

- 3 = 6 x + 5 x^{2}

solvefor x,x^2+2x=8

so l v e f or x, x^{2} + 2 x = 8

(x + 1)^{2} - 15 = 1

x^2+2x+11=-4x+2

x^{2} + 2 x + 11 = - 4 x + 2

h^{2} = 1 3^{2} + 1 6^{2}