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 >

(x-3)^2=9x

解答

(x - 3)^{2} = 9 x

解答

x = \frac{15 + 3 21}{2}, x = \frac{15 - 3 21}{2}

+1

十进制

x = 14.37386 \dots, x = 0.62613 \dots

求解步骤

(x - 3)^{2} = 9 x

展开

(x - 3)^{2} : x^{2} - 6 x + 9

x^{2} - 6 x + 9 = 9 x

将

9 x

para o lado esquerdo

x^{2} - 15 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

(- 15)^{2} - 4 \cdot 1 \cdot 9 = 321

x_{1, 2} = \frac{- ( - 15 ) \pm 3 21}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 15 ) + 3 21}{2 \cdot 1}, x_{2} = \frac{- ( - 15 ) - 3 21}{2 \cdot 1}

x = \frac{- ( - 15 ) + 3 21}{2 \cdot 1} : \frac{15 + 3 21}{2}

x = \frac{- ( - 15 ) - 3 21}{2 \cdot 1} : \frac{15 - 3 21}{2}

二次方程组的解是:

x = \frac{15 + 3 21}{2}, x = \frac{15 - 3 21}{2}

作图

流行的例子

- 6 x^{2} + 4 x + 5 = 0

7/5 x+14/5 =x^2+2/5 x-16/5

\frac{7}{5} x + \frac{14}{5} = x^{2} + \frac{2}{5} x - \frac{16}{5}

solvefor x,z^2=x^2+7.5y^2

so l v e f or x, z^{2} = x^{2} + 7.5 y^{2}

2^2+sqrt(-1)+x^2=2

2^{2} + - 1 + x^{2} = 2

125 x^{2} + 20 = 0