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人気のある代数 >

((n(n+6)))/(12)=18000

解

\frac{( n ( n + 6 ) )}{12} = 18000

解

n = 3 (24001 - 1), n = - 3 (1 + 24001)

+1

十進法表記

n = 461.76768 \dots, n = - 467.76768 \dots

解答ステップ

\frac{( n ( n + 6 ) )}{12} = 18000

以下で両辺を乗じる:

12

n (n + 6) = 216000

拡張

n (n + 6) : n^{2} + 6 n

n^{2} + 6 n = 216000

216000

を左側に移動します

n^{2} + 6 n - 216000 = 0

解くとthe二次式

n_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 216000 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 216000) = 624001

n_{1, 2} = \frac{- 6 \pm 6 24001}{2 \cdot 1}

解を分離する

n_{1} = \frac{- 6 + 6 24001}{2 \cdot 1}, n_{2} = \frac{- 6 - 6 24001}{2 \cdot 1}

n = \frac{- 6 + 6 24001}{2 \cdot 1} : 3 (24001 - 1)

n = \frac{- 6 - 6 24001}{2 \cdot 1} : - 3 (1 + 24001)

二次equationの解:

n = 3 (24001 - 1), n = - 3 (1 + 24001)

グラフ

人気の例

(2x^2)/(16)=2^3x

\frac{2 x ^{2}}{16} = 2^{3} x

2.2 x^{2} - 8.8 x = 0

solvefor x,x^2-y^4=2035

so l v e f or x, x^{2} - y^{4} = 2035

(x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0

(x - b) (x - c) + (x - c) (x - a) + (x - a) (x - b) = 0

solvefor x,15(2x^2-y^2)=7xy

so l v e f or x, 15 (2 x^{2} - y^{2}) = 7 x y