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人気のある代数 >

13500x^2+52000000x+33000=0

解

13500 x^{2} + 52000000 x + 33000 = 0

解

x = \frac{- 104000 + 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}, x = \frac{- 104000 - 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}

+1

十進法表記

x = - 0.00063 \dots, x = - 3851.85121 \dots

解答ステップ

13500 x^{2} + 52000000 x + 33000 = 0

以下で両辺を割る

13500

\frac{13500 x ^{2}}{13500} + \frac{52000000 x}{13500} + \frac{33000}{13500} = \frac{0}{13500}

標準的な形式で書く

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

x^{2} + \frac{104000 x}{27} + \frac{22}{9} = 0

解くとthe二次式

x_{1, 2} = \frac{- \frac{104000}{27} \pm ( \frac{104000}{27} ) ^{2} - 4 \cdot 1 \cdot \frac{22}{9}}{2 \cdot 1}

(\frac{104000}{27})^{2} - 4 \cdot 1 \cdot \frac{22}{9} = \frac{10400 0 ^{2}}{729} - \frac{88}{9}

x_{1, 2} = \frac{- \frac{104000}{27} \pm \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{2 \cdot 1}

解を分離する

x_{1} = \frac{- \frac{104000}{27} + \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{2 \cdot 1}, x_{2} = \frac{- \frac{104000}{27} - \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{2 \cdot 1}

x = \frac{- \frac{104000}{27} + \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{2 \cdot 1} : \frac{- 104000 + 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}

x = \frac{- \frac{104000}{27} - \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{2 \cdot 1} : \frac{- 104000 - 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}

二次equationの解:

x = \frac{- 104000 + 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}, x = \frac{- 104000 - 27 \frac{10400 0 ^{2}}{729} - \frac{88}{9}}{54}

グラフ

人気の例

(3 x + 2) (x - 5) = 0

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

solvefor x,x^2+zx+10=0

so l v e f or x, x^{2} + z x + 10 = 0

X^{2} - 4 X - 1 = 0

因数 x^2+16x+64=0

f a c t or x^{2} + 16 x + 64 = 0