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受欢迎的代数 >

6x^2=x+1

解答

6 x^{2} = x + 1

解答

x = \frac{1}{2}, x = - \frac{1}{3}

+1

十进制

x = 0.5, x = - 0.33333 \dots

求解步骤

6 x^{2} = x + 1

将

1

para o lado esquerdo

6 x^{2} - 1 = x

将

x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 6 ( - 1 )}{2 \cdot 6}

(- 1)^{2} - 4 \cdot 6 (- 1) = 5

x_{1, 2} = \frac{- ( - 1 ) \pm 5}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 6}, x_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 6}

x = \frac{- ( - 1 ) + 5}{2 \cdot 6} : \frac{1}{2}

x = \frac{- ( - 1 ) - 5}{2 \cdot 6} : - \frac{1}{3}

二次方程组的解是:

x = \frac{1}{2}, x = - \frac{1}{3}

作图

流行的例子

(x+2)^2+(x-1)^2=9

(x + 2)^{2} + (x - 1)^{2} = 9

t^{2} = 60

(x+4)^2+(x-3)^2=343

(x + 4)^{2} + (x - 3)^{2} = 343

9 t^{2} = 36 t + 13

completesquare-2x^2+1

co m pl e t es q u a re - 2 x^{2} + 1