zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

((a^2)/3)^2+(a)^2=50

解答

(\frac{a ^{2}}{3})^{2} + (a)^{2} = 50

解答

a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}, a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

求解步骤

(\frac{a ^{2}}{3})^{2} + a^{2} = 50

展开

(\frac{a ^{2}}{3})^{2} + a^{2} : \frac{a ^{4}}{9} + a^{2}

\frac{a ^{4}}{9} + a^{2} = 50

将

50

para o lado esquerdo

\frac{a ^{4}}{9} + a^{2} - 50 = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

\frac{1 \cdot a ^{4}}{9} + a^{2} - 50 = 0

用

u = a^{2}

和

u^{2} = a^{4}

改写方程式

\frac{1 \cdot u ^{2}}{9} + u - 50 = 0

解

\frac{1 \cdot u ^{2}}{9} + u - 50 = 0 : u = \frac{- 9 + 3 209}{2}, u = \frac{- 9 - 3 209}{2}

u = \frac{- 9 + 3 209}{2}, u = \frac{- 9 - 3 209}{2}

代回

u = a^{2}

，求解

a

解

a^{2} = \frac{- 9 + 3 209}{2} : a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}

解

a^{2} = \frac{- 9 - 3 209}{2} : a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

解为

a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}, a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

作图

流行的例子

k = m^{2} v^{3}

2x^4+5x^3+2x^2-45x=0

2 x^{4} + 5 x^{3} + 2 x^{2} - 45 x = 0

6x^4-29x^3+30x^2=6-11x

6 x^{4} - 29 x^{3} + 30 x^{2} = 6 - 11 x

z^{5} + 1 = 0

2x^3-5x^2+6x-2=0

2 x^{3} - 5 x^{2} + 6 x - 2 = 0