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 >

5x^2=x+1

解答

5 x^{2} = x + 1

解答

x = \frac{1 + 21}{10}, x = \frac{1 - 21}{10}

+1

十进制

x = 0.55825 \dots, x = - 0.35825 \dots

求解步骤

5 x^{2} = x + 1

将

1

para o lado esquerdo

5 x^{2} - 1 = x

将

x

para o lado esquerdo

5 x^{2} - 1 - x = 0

改写成标准形式

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

5 x^{2} - x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 5 ( - 1 )}{2 \cdot 5}

(- 1)^{2} - 4 \cdot 5 (- 1) = 21

x_{1, 2} = \frac{- ( - 1 ) \pm 21}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 21}{2 \cdot 5}, x_{2} = \frac{- ( - 1 ) - 21}{2 \cdot 5}

x = \frac{- ( - 1 ) + 21}{2 \cdot 5} : \frac{1 + 21}{10}

x = \frac{- ( - 1 ) - 21}{2 \cdot 5} : \frac{1 - 21}{10}

二次方程组的解是:

x = \frac{1 + 21}{10}, x = \frac{1 - 21}{10}

作图

流行的例子

r^{2} = 100

solvefor x,2x^2-(kx)/2+1/32 =0

so l v e f or x, 2 x^{2} - \frac{k x}{2} + \frac{1}{32} = 0

10 x^{2} + 19 x + 7 = 0

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

4x^2-10x+5=x^2+4x-3

4 x^{2} - 10 x + 5 = x^{2} + 4 x - 3