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 >

quadraticformula 9x^2=10x+2

解答

9 x^{2} = 10 x + 2

解答

x = \frac{5 + 43}{9}, x = \frac{5 - 43}{9}

+1

十进制

x = 1.28415 \dots, x = - 0.17304 \dots

求解步骤

9 x^{2} = 10 x + 2

将

2

para o lado esquerdo

9 x^{2} - 2 = 10 x

将

10 x

para o lado esquerdo

9 x^{2} - 2 - 10 x = 0

改写成标准形式

a x^{2} + b x + c = 0

9 x^{2} - 10 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 9 ( - 2 )}{2 \cdot 9}

(- 10)^{2} - 4 \cdot 9 (- 2) = 243

x_{1, 2} = \frac{- ( - 10 ) \pm 2 43}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 43}{2 \cdot 9}, x_{2} = \frac{- ( - 10 ) - 2 43}{2 \cdot 9}

x = \frac{- ( - 10 ) + 2 43}{2 \cdot 9} : \frac{5 + 43}{9}

x = \frac{- ( - 10 ) - 2 43}{2 \cdot 9} : \frac{5 - 43}{9}

二次方程组的解是:

x = \frac{5 + 43}{9}, x = \frac{5 - 43}{9}

作图

流行的例子

- 2 x^{2} - 10 x = 0

(x - 1)^{2} - 81 = 0

5 x = 1 - 2 x^{2}

x^{2} + x = \frac{4}{3}

completesquare m^2+50m-3=0

co m pl e t es q u a re m^{2} + 50 m - 3 = 0