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受欢迎的代数 >

x^2+12x+1/3 =0

解答

x^{2} + 12 x + \frac{1}{3} = 0

解答

x = \frac{- 18 + 321}{3}, x = - \frac{18 + 321}{3}

+1

十进制

x = - 0.02784 \dots, x = - 11.97215 \dots

求解步骤

x^{2} + 12 x + \frac{1}{3} = 0

在两边乘以

3

3 x^{2} + 36 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 \cdot 3 \cdot 1}{2 \cdot 3}

3 6^{2} - 4 \cdot 3 \cdot 1 = 2321

x_{1, 2} = \frac{- 36 \pm 2 321}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 36 + 2 321}{2 \cdot 3}, x_{2} = \frac{- 36 - 2 321}{2 \cdot 3}

x = \frac{- 36 + 2 321}{2 \cdot 3} : \frac{- 18 + 321}{3}

x = \frac{- 36 - 2 321}{2 \cdot 3} : - \frac{18 + 321}{3}

二次方程组的解是:

x = \frac{- 18 + 321}{3}, x = - \frac{18 + 321}{3}

作图

流行的例子

y^{2} = 18 y + 18

7 v^{2} = - 35 v + 168

solvefor x,x^2=(4R)/3 (2R-(4R)/3)

so l v e f or x, x^{2} = \frac{4 R}{3} (2 R - \frac{4 R}{3})

u^{2} - 4 u = 12

x^{2} = 0.9