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人気のある代数 >

(r^2)/(|(1-r^2)|)=1.02

解

\frac{r ^{2}}{∣ ( 1 - r ^{2} ) ∣} = 1.02

解

r = - 51, r = - \frac{51}{101}, r = \frac{51}{101}, r = 51

+1

十進法表記

r = - 7.14142 \dots, r = - 0.71059 \dots, r = 0.71059 \dots, r = 7.14142 \dots

解答ステップ

\frac{r ^{2}}{∣ ( 1 - r ^{2} ) ∣} = 1.02

簡素化

\frac{r ^{2}}{∣ ( 1 - r ^{2} ) ∣} : \frac{r ^{2}}{∣ 1 - r ^{2} ∣}

\frac{r ^{2}}{∣ 1 - r ^{2} ∣} = 1.02

以下で両辺を乗じる:

1 - r^{2}

r^{2} = 1.02 1 - r^{2}

解く

r^{2} = 1.02 1 - r^{2} : r = - 51 or r = - \frac{51}{101} or r = \frac{51}{101} or r = 51

r = - 51, r = - \frac{51}{101}, r = \frac{51}{101}, r = 51

解を検算する

未定義の (特異) 点を求める:

r = - 1, r = 1

未定義のポイントを解に組み合わせる:

r = - 51, r = - \frac{51}{101}, r = \frac{51}{101}, r = 51

グラフ

人気の例

|(2x)/(x-2)|+|x|=(x^2)/(|x-2|)

\frac{2 x}{x - 2} + ∣ x ∣ = \frac{x ^{2}}{∣ x - 2 ∣}

((x+1)/x)^2+((1-1)/x)^2=1

(\frac{x + 1}{x})^{2} + (\frac{1 - 1}{x})^{2} = 1

((n+1)!)/((n-1)!)=20

\frac{( n + 1 ) !}{( n - 1 ) !} = 20

solvefor t,s= d/((t-t_{0))}

so l v e f or t, s = \frac{d}{( t - t _{0} )}

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\frac{3}{( x + \frac{1}{2} ) - x ^{2} + 3 x} = \frac{6}{( 2 x + 1 )} + x^{2} - 2