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受欢迎的代数 >

x=0.25x^2-14.5x+200

解答

x = 0.25 x^{2} - 14.5 x + 200

解答

x = 31 + 161, x = 31 - 161

+1

十进制

x = 43.68857 \dots, x = 18.31142 \dots

求解步骤

x = 0.25 x^{2} - 14.5 x + 200

在两边乘以

100

x \cdot 100 = 25 x^{2} - 1450 x + 20000

交换两边

25 x^{2} - 1450 x + 20000 = x \cdot 100

将

x 100

para o lado esquerdo

25 x^{2} - 1550 x + 20000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1550 ) \pm ( - 1550 ) ^{2} - 4 \cdot 25 \cdot 20000}{2 \cdot 25}

(- 1550)^{2} - 4 \cdot 25 \cdot 20000 = 50161

x_{1, 2} = \frac{- ( - 1550 ) \pm 50 161}{2 \cdot 25}

将解分隔开

x_{1} = \frac{- ( - 1550 ) + 50 161}{2 \cdot 25}, x_{2} = \frac{- ( - 1550 ) - 50 161}{2 \cdot 25}

x = \frac{- ( - 1550 ) + 50 161}{2 \cdot 25} : 31 + 161

x = \frac{- ( - 1550 ) - 50 161}{2 \cdot 25} : 31 - 161

二次方程组的解是:

x = 31 + 161, x = 31 - 161

作图

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