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 >

18(x-3)^2+9(x-3)-2=0

解答

18 (x - 3)^{2} + 9 (x - 3) - 2 = 0

解答

x = \frac{19}{6}, x = \frac{7}{3}

+1

十进制

x = 3.16666 \dots, x = 2.33333 \dots

求解步骤

18 (x - 3)^{2} + 9 (x - 3) - 2 = 0

展开

18 (x - 3)^{2} + 9 (x - 3) - 2 : 18 x^{2} - 99 x + 133

18 x^{2} - 99 x + 133 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 99 ) \pm ( - 99 ) ^{2} - 4 \cdot 18 \cdot 133}{2 \cdot 18}

(- 99)^{2} - 4 \cdot 18 \cdot 133 = 15

x_{1, 2} = \frac{- ( - 99 ) \pm 15}{2 \cdot 18}

将解分隔开

x_{1} = \frac{- ( - 99 ) + 15}{2 \cdot 18}, x_{2} = \frac{- ( - 99 ) - 15}{2 \cdot 18}

x = \frac{- ( - 99 ) + 15}{2 \cdot 18} : \frac{19}{6}

x = \frac{- ( - 99 ) - 15}{2 \cdot 18} : \frac{7}{3}

二次方程组的解是:

x = \frac{19}{6}, x = \frac{7}{3}

作图

流行的例子

因式分解-6+9i

f a c t or - 6 + 9 i

9 - 2 x = 35

因式分解 (x+13)^{3/2}+x*3/2 (x+13)^{1/2}

f a c t or (x + 13)^{\frac{3}{2}} + x \cdot \frac{3}{2} (x + 13)^{\frac{1}{2}}

(x - 7)^{2} \geq 25

∣ 12 - 4 x ∣ \leq 11