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受欢迎的代数 >

6x^2+2x-5=0

解答

6 x^{2} + 2 x - 5 = 0

解答

x = \frac{- 1 + 31}{6}, x = - \frac{1 + 31}{6}

+1

十进制

x = 0.76129 \dots, x = - 1.09462 \dots

求解步骤

6 x^{2} + 2 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 6 ( - 5 )}{2 \cdot 6}

2^{2} - 4 \cdot 6 (- 5) = 231

x_{1, 2} = \frac{- 2 \pm 2 31}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 2 + 2 31}{2 \cdot 6}, x_{2} = \frac{- 2 - 2 31}{2 \cdot 6}

x = \frac{- 2 + 2 31}{2 \cdot 6} : \frac{- 1 + 31}{6}

x = \frac{- 2 - 2 31}{2 \cdot 6} : - \frac{1 + 31}{6}

二次方程组的解是:

x = \frac{- 1 + 31}{6}, x = - \frac{1 + 31}{6}

作图

流行的例子

completesquare y^2-32y

co m pl e t es q u a re y^{2} - 32 y

((x-2)^2)/3+(14x-5)/6 = 11/6

\frac{( x - 2 ) ^{2}}{3} + \frac{14 x - 5}{6} = \frac{11}{6}

2 n^{2} + n - 2035 = 0

因式分解 x^2-6x-27=0

f a c t or x^{2} - 6 x - 27 = 0

(2 x + 3)^{2} - 108 = 0