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人気のある代数 >

-5x*(1+3x)=(3(x-3)-(2x-10))/2

解

- 5 x \cdot (1 + 3 x) = \frac{3 ( x - 3 ) - ( 2 x - 10 )}{2}

解

x = - \frac{1}{5}, x = - \frac{1}{6}

+1

十進法表記

x = - 0.2, x = - 0.16666 \dots

解答ステップ

- 5 x (1 + 3 x) = \frac{3 ( x - 3 ) - ( 2 x - 10 )}{2}

以下で両辺を乗じる:

2

- 10 x (1 + 3 x) = 3 (x - 3) - (2 x - 10)

拡張

- 10 x (1 + 3 x) : - 10 x - 30 x^{2}

拡張

3 (x - 3) - (2 x - 10) : x + 1

- 10 x - 30 x^{2} = x + 1

1

を左側に移動します

- 10 x - 30 x^{2} - 1 = x

x

を左側に移動します

- 30 x^{2} - 11 x - 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 ( - 30 ) ( - 1 )}{2 ( - 30 )}

(- 11)^{2} - 4 (- 30) (- 1) = 1

x_{1, 2} = \frac{- ( - 11 ) \pm 1}{2 ( - 30 )}

解を分離する

x_{1} = \frac{- ( - 11 ) + 1}{2 ( - 30 )}, x_{2} = \frac{- ( - 11 ) - 1}{2 ( - 30 )}

x = \frac{- ( - 11 ) + 1}{2 ( - 30 )} : - \frac{1}{5}

x = \frac{- ( - 11 ) - 1}{2 ( - 30 )} : - \frac{1}{6}

二次equationの解:

x = - \frac{1}{5}, x = - \frac{1}{6}

グラフ

人気の例

c=(x^2+x)2+9x^2+9x+14

c = (x^{2} + x) 2 + 9 x^{2} + 9 x + 14

6 a^{3} + 5 x^{2} - 7 x = 6

solvefor x,f(x^2)=1-x^2

so l v e f or x, f (x^{2}) = 1 - x^{2}

9 y^{2} - 3 y - 2 = 0

x^2-(2b-1)*x+(b^2-b-20)=0

x^{2} - (2 b - 1) \cdot x + (b^{2} - b - 20) = 0