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受欢迎的代数 >

0.75x^2-6x+20=2.75x+1.5

解答

0.75 x^{2} - 6 x + 20 = 2.75 x + 1.5

解答

x = \frac{35 + 337}{6}, x = \frac{35 - 337}{6}

+1

十进制

x = 8.89292 \dots, x = 2.77374 \dots

求解步骤

0.75 x^{2} - 6 x + 20 = 2.75 x + 1.5

在两边乘以

100

75 x^{2} - 600 x + 2000 = 275 x + 150

将

150

para o lado esquerdo

75 x^{2} - 600 x + 1850 = 275 x

将

275 x

para o lado esquerdo

75 x^{2} - 875 x + 1850 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 875 ) \pm ( - 875 ) ^{2} - 4 \cdot 75 \cdot 1850}{2 \cdot 75}

(- 875)^{2} - 4 \cdot 75 \cdot 1850 = 25337

x_{1, 2} = \frac{- ( - 875 ) \pm 25 337}{2 \cdot 75}

将解分隔开

x_{1} = \frac{- ( - 875 ) + 25 337}{2 \cdot 75}, x_{2} = \frac{- ( - 875 ) - 25 337}{2 \cdot 75}

x = \frac{- ( - 875 ) + 25 337}{2 \cdot 75} : \frac{35 + 337}{6}

x = \frac{- ( - 875 ) - 25 337}{2 \cdot 75} : \frac{35 - 337}{6}

二次方程组的解是:

x = \frac{35 + 337}{6}, x = \frac{35 - 337}{6}

作图

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