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受欢迎的代数 >

37500X^2+2117.1X+8177.4=0

解答

37500 X^{2} + 2117.1 X + 8177.4 = 0

解答

X = - \frac{7057}{250000} + i \frac{122212788759}{750000}, X = - \frac{7057}{250000} - i \frac{122212788759}{750000}

求解步骤

37500 X^{2} + 2117.1 X + 8177.4 = 0

在两边乘以

10

375000 X^{2} + 21171 X + 81774 = 0

使用求根公式求解

X_{1, 2} = \frac{- 21171 \pm 2117 1 ^{2} - 4 \cdot 375000 \cdot 81774}{2 \cdot 375000}

化简

2117 1^{2} - 4 \cdot 375000 \cdot 81774 : 122212788759 i

X_{1, 2} = \frac{- 21171 \pm 122212788759 i}{2 \cdot 375000}

将解分隔开

X_{1} = \frac{- 21171 + 122212788759 i}{2 \cdot 375000}, X_{2} = \frac{- 21171 - 122212788759 i}{2 \cdot 375000}

X = \frac{- 21171 + 122212788759 i}{2 \cdot 375000} : - \frac{7057}{250000} + i \frac{122212788759}{750000}

X = \frac{- 21171 - 122212788759 i}{2 \cdot 375000} : - \frac{7057}{250000} - i \frac{122212788759}{750000}

二次方程组的解是:

X = - \frac{7057}{250000} + i \frac{122212788759}{750000}, X = - \frac{7057}{250000} - i \frac{122212788759}{750000}

作图

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