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受欢迎的代数 >

r^2+10r+8/3 =0

解答

r^{2} + 10 r + \frac{8}{3} = 0

解答

r = \frac{- 15 + 201}{3}, r = - \frac{15 + 201}{3}

+1

十进制

r = - 0.27418 \dots, r = - 9.72581 \dots

求解步骤

r^{2} + 10 r + \frac{8}{3} = 0

在两边乘以

3

3 r^{2} + 30 r + 8 = 0

使用求根公式求解

r_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

3 0^{2} - 4 \cdot 3 \cdot 8 = 2201

r_{1, 2} = \frac{- 30 \pm 2 201}{2 \cdot 3}

将解分隔开

r_{1} = \frac{- 30 + 2 201}{2 \cdot 3}, r_{2} = \frac{- 30 - 2 201}{2 \cdot 3}

r = \frac{- 30 + 2 201}{2 \cdot 3} : \frac{- 15 + 201}{3}

r = \frac{- 30 - 2 201}{2 \cdot 3} : - \frac{15 + 201}{3}

二次方程组的解是:

r = \frac{- 15 + 201}{3}, r = - \frac{15 + 201}{3}

作图

流行的例子

4 x^{2} + 65 = 81

2 m^{2} + 10 m + 8 = 0

3 p^{2} = - 2 p + 2

x^{2} - 16 x + 64 = 16

x^{2} + 63 = 0