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受欢迎的代数 >

x^2+22x+116.5=0

解答

x^{2} + 22 x + 116.5 = 0

解答

x = \frac{- 22 + 3 2}{2}, x = - \frac{22 + 3 2}{2}

+1

十进制

x = - 8.87867 \dots, x = - 13.12132 \dots

求解步骤

x^{2} + 22 x + 116.5 = 0

在两边乘以

10

10 x^{2} + 220 x + 1165 = 0

使用求根公式求解

x_{1, 2} = \frac{- 220 \pm 22 0 ^{2} - 4 \cdot 10 \cdot 1165}{2 \cdot 10}

22 0^{2} - 4 \cdot 10 \cdot 1165 = 302

x_{1, 2} = \frac{- 220 \pm 30 2}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- 220 + 30 2}{2 \cdot 10}, x_{2} = \frac{- 220 - 30 2}{2 \cdot 10}

x = \frac{- 220 + 30 2}{2 \cdot 10} : \frac{- 22 + 3 2}{2}

x = \frac{- 220 - 30 2}{2 \cdot 10} : - \frac{22 + 3 2}{2}

二次方程组的解是:

x = \frac{- 22 + 3 2}{2}, x = - \frac{22 + 3 2}{2}

作图

流行的例子

10 b^{2} + 33 b + 25 = 5

x^2+18x+27=8x+3

x^{2} + 18 x + 27 = 8 x + 3

completesquare x^2-15=2x

co m pl e t es q u a re x^{2} - 15 = 2 x

3 x^{2} - 42 x + 80 = 0

solvefor y,x^2+y^3=8

so l v e f or y, x^{2} + y^{3} = 8