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受欢迎的代数 >

1.24a^2+47.5a-1917.81=0

解答

1.24 a^{2} + 47.5 a - 1917.81 = 0

解答

a = \frac{- 4750 + 117685876}{248}, a = \frac{- 4750 - 117685876}{248}

+1

十进制

a = 24.58996 \dots, a = - 62.89641 \dots

求解步骤

1.24 a^{2} + 47.5 a - 1917.81 = 0

在两边乘以

100

124 a^{2} + 4750 a - 191781 = 0

使用求根公式求解

a_{1, 2} = \frac{- 4750 \pm 475 0 ^{2} - 4 \cdot 124 ( - 191781 )}{2 \cdot 124}

475 0^{2} - 4 \cdot 124 (- 191781) = 117685876

a_{1, 2} = \frac{- 4750 \pm 117685876}{2 \cdot 124}

将解分隔开

a_{1} = \frac{- 4750 + 117685876}{2 \cdot 124}, a_{2} = \frac{- 4750 - 117685876}{2 \cdot 124}

a = \frac{- 4750 + 117685876}{2 \cdot 124} : \frac{- 4750 + 117685876}{248}

a = \frac{- 4750 - 117685876}{2 \cdot 124} : \frac{- 4750 - 117685876}{248}

二次方程组的解是:

a = \frac{- 4750 + 117685876}{248}, a = \frac{- 4750 - 117685876}{248}

作图

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