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受欢迎的代数 >

0.175x^2-4.6x-10pi=0

解答

0.175 x^{2} - 4.6 x - 10 π = 0

解答

x = \frac{4600 + 21160000 + 7000000 π}{350}, x = \frac{4600 - 21160000 + 7000000 π}{350}

+1

十进制

x = 31.91129 \dots, x = - 5.62558 \dots

求解步骤

0.175 x^{2} - 4.6 x - 10 π = 0

在两边乘以

1000

175 x^{2} - 4600 x - 10000 π = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4600 ) \pm ( - 4600 ) ^{2} - 4 \cdot 175 ( - 10000 π )}{2 \cdot 175}

(- 4600)^{2} - 4 \cdot 175 (- 10000 π) = 21160000 + 7000000 π

x_{1, 2} = \frac{- ( - 4600 ) \pm 21160000 + 7000000 π}{2 \cdot 175}

将解分隔开

x_{1} = \frac{- ( - 4600 ) + 21160000 + 7000000 π}{2 \cdot 175}, x_{2} = \frac{- ( - 4600 ) - 21160000 + 7000000 π}{2 \cdot 175}

x = \frac{- ( - 4600 ) + 21160000 + 7000000 π}{2 \cdot 175} : \frac{4600 + 21160000 + 7000000 π}{350}

x = \frac{- ( - 4600 ) - 21160000 + 7000000 π}{2 \cdot 175} : \frac{4600 - 21160000 + 7000000 π}{350}

二次方程组的解是:

x = \frac{4600 + 21160000 + 7000000 π}{350}, x = \frac{4600 - 21160000 + 7000000 π}{350}

作图

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