ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

x^2-(m-1)x+5=0

解

x^{2} - (m - 1) x + 5 = 0

解

x = \frac{m - 1 + m ^{2} - 2 m - 19}{2}, x = \frac{m - 1 - m ^{2} - 2 m - 19}{2}

解答ステップ

x^{2} - (m - 1) x + 5 = 0

拡張

x^{2} - (m - 1) x + 5 : x^{2} - m x + x + 5

x^{2} - m x + x + 5 = 0

標準的な形式で書く

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

x^{2} + (- m + 1) x + 5 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - m + 1 ) \pm ( - m + 1 ) ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

簡素化

(- m + 1)^{2} - 4 \cdot 1 \cdot 5 : m^{2} - 2 m - 19

x_{1, 2} = \frac{- ( - m + 1 ) \pm m ^{2} - 2 m - 19}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - m + 1 ) + m ^{2} - 2 m - 19}{2 \cdot 1}, x_{2} = \frac{- ( - m + 1 ) - m ^{2} - 2 m - 19}{2 \cdot 1}

x = \frac{- ( - m + 1 ) + m ^{2} - 2 m - 19}{2 \cdot 1} : \frac{m - 1 + m ^{2} - 2 m - 19}{2}

x = \frac{- ( - m + 1 ) - m ^{2} - 2 m - 19}{2 \cdot 1} : \frac{m - 1 - m ^{2} - 2 m - 19}{2}

二次equationの解:

x = \frac{m - 1 + m ^{2} - 2 m - 19}{2}, x = \frac{m - 1 - m ^{2} - 2 m - 19}{2}

グラフ

人気の例

x^{2} + 5 x - 144 = 0

solvefor x,f=ax^2+4x+m

so l v e f or x, f = a x^{2} + 4 x + m

(m - 4)^{2} = 7

5 x^{2} + 8 x - 14 = 0

(m - 4)^{2} = 9