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^2-9x+81/4 = 1/4

解答

x^{2} - 9 x + \frac{81}{4} = \frac{1}{4}

解答

x = 5, x = 4

求解步骤

x^{2} - 9 x + \frac{81}{4} = \frac{1}{4}

在两边乘以

4

4 x^{2} - 36 x + 81 = 1

将

1

para o lado esquerdo

4 x^{2} - 36 x + 80 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 4 \cdot 80}{2 \cdot 4}

(- 36)^{2} - 4 \cdot 4 \cdot 80 = 4

x_{1, 2} = \frac{- ( - 36 ) \pm 4}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 4}{2 \cdot 4}, x_{2} = \frac{- ( - 36 ) - 4}{2 \cdot 4}

x = \frac{- ( - 36 ) + 4}{2 \cdot 4} : 5

x = \frac{- ( - 36 ) - 4}{2 \cdot 4} : 4

二次方程组的解是:

x = 5, x = 4

作图

流行的例子

0.5x+6=2(2x-3)x

0.5 x + 6 = 2 (2 x - 3) x

solvefor x,f=3x^2yz-xy^2z^2

so l v e f or x, f = 3 x^{2} yz - x y^{2} z^{2}

8 x^{2} = 12 - 4 x

completesquare s^2-2s+10

co m pl e t es q u a re s^{2} - 2 s + 10

solvefor x,5x^2-3xy+5y^2-27=0

so l v e f or x, 5 x^{2} - 3 x y + 5 y^{2} - 27 = 0