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 >

4x^2-4a^2x+(a-b)=0

解

4 x^{2} - 4 a^{2} x + (a - b) = 0

解

x = \frac{a ^{2} + a ^{4} - a + b}{2}, x = \frac{a ^{2} - a ^{4} - a + b}{2}

解答ステップ

4 x^{2} - 4 a^{2} x + (a - b) = 0

改良

4 x^{2} - 4 a^{2} x + a - b = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 4 a ^{2} ) \pm ( - 4 a ^{2} ) ^{2} - 4 \cdot 4 ( a - b )}{2 \cdot 4}

簡素化

(- 4 a^{2})^{2} - 4 \cdot 4 (a - b) : 4 a^{4} - a + b

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

解を分離する

x_{1} = \frac{- ( - 4 a ^{2} ) + 4 a ^{4} - a + b}{2 \cdot 4}, x_{2} = \frac{- ( - 4 a ^{2} ) - 4 a ^{4} - a + b}{2 \cdot 4}

x = \frac{- ( - 4 a ^{2} ) + 4 a ^{4} - a + b}{2 \cdot 4} : \frac{a ^{2} + a ^{4} - a + b}{2}

x = \frac{- ( - 4 a ^{2} ) - 4 a ^{4} - a + b}{2 \cdot 4} : \frac{a ^{2} - a ^{4} - a + b}{2}

二次equationの解:

x = \frac{a ^{2} + a ^{4} - a + b}{2}, x = \frac{a ^{2} - a ^{4} - a + b}{2}

グラフ

人気の例

solvefor x,p(x+1)=x^2+p

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

solvefor a,u=50a-0.5a^2+60m-0.25m^2

so l v e f or a, u = 50 a - 0.5 a^{2} + 60 m - 0.25 m^{2}

(a-b)*x^2+(b+c-a)x-c=0

(a - b) \cdot x^{2} + (b + c - a) x - c = 0

(3/5 x-2/3)^2= 5/6

(\frac{3}{5} x - \frac{2}{3})^{2} = \frac{5}{6}

solvefor u,1+d^2u^2=(1+(d^2)/2)^2

so l v e f or u, 1 + d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2}