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受欢迎的代数 >

x^2-3.2x+2.56-0.0909090909=0

解答

x^{2} - 3.2 x + 2.56 - 0.0909090909 = 0

解答

x = \frac{3.2 + 0.3636363636}{2}, x = \frac{3.2 - 0.3636363636}{2}

+1

十进制

x = 1.90151 \dots, x = 1.29848 \dots

求解步骤

x^{2} - 3.2 x + 2.56 - 0.09090 \dots = 0

整理后得

x^{2} - 3.2 x + 2.46909 \dots = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3.2 ) \pm ( - 3.2 ) ^{2} - 4 \cdot 1 \cdot 2.46909 \dots}{2 \cdot 1}

(- 3.2)^{2} - 4 \cdot 1 \cdot 2.46909 \dots = 0.3636363636

x_{1, 2} = \frac{- ( - 3.2 ) \pm 0.3636363636}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 3.2 ) + 0.3636363636}{2 \cdot 1}, x_{2} = \frac{- ( - 3.2 ) - 0.3636363636}{2 \cdot 1}

x = \frac{- ( - 3.2 ) + 0.3636363636}{2 \cdot 1} : \frac{3.2 + 0.3636363636}{2}

x = \frac{- ( - 3.2 ) - 0.3636363636}{2 \cdot 1} : \frac{3.2 - 0.3636363636}{2}

二次方程组的解是:

x = \frac{3.2 + 0.3636363636}{2}, x = \frac{3.2 - 0.3636363636}{2}

作图

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