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人気のある代数 >

solvefor x,x^2+2kx-3=kx^2+1.4

解

x, x^{2} + 2 k x - 3 = k x^{2} + 1.4

解

x = \frac{- 20 k + 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}, x = \frac{- 20 k - 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}; k \neq = 1

解答ステップ

x^{2} + 2 k x - 3 = k x^{2} + 1.4

以下で両辺を乗じる:

10

10 x^{2} + 20 k x - 30 = 10 k x^{2} + 14

14

を左側に移動します

10 x^{2} + 20 k x - 44 = 10 k x^{2}

10 k x^{2}

を左側に移動します

10 x^{2} + 20 k x - 44 - 10 k x^{2} = 0

標準的な形式で書く

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

(10 - 10 k) x^{2} + 20 k x - 44 = 0

解くとthe二次式

x_{1, 2} = \frac{- 20 k \pm ( 20 k ) ^{2} - 4 ( 10 - 10 k ) ( - 44 )}{2 ( 10 - 10 k )}

簡素化

(20 k)^{2} - 4 (10 - 10 k) (- 44) : 400 k^{2} + 176 (10 - 10 k)

x_{1, 2} = \frac{- 20 k \pm 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}; k \neq = 1

解を分離する

x_{1} = \frac{- 20 k + 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}, x_{2} = \frac{- 20 k - 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}

x = \frac{- 20 k + 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}; k \neq = 1

x = \frac{- 20 k - 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}; k \neq = 1

二次equationの解:

x = \frac{- 20 k + 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}, x = \frac{- 20 k - 400 k ^{2} + 176 ( 10 - 10 k )}{2 ( 10 - 10 k )}; k \neq = 1

グラフ

人気の例

solvefor t,s= 1/6 gt^2

so l v e f or t, s = \frac{1}{6} g t^{2}

7 x^{2} - 200 = 24

25 - 4 x^{2} = 0

12x^2+18x=(12x+18)

12 x^{2} + 18 x = (12 x + 18)

(x - 2)^{2} - 6 = 0