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受欢迎的代数 >

2p^2-10p+9=0

解答

2 p^{2} - 10 p + 9 = 0

解答

p = \frac{5 + 7}{2}, p = \frac{5 - 7}{2}

+1

十进制

p = 3.82287 \dots, p = 1.17712 \dots

求解步骤

2 p^{2} - 10 p + 9 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 2 \cdot 9}{2 \cdot 2}

(- 10)^{2} - 4 \cdot 2 \cdot 9 = 27

p_{1, 2} = \frac{- ( - 10 ) \pm 2 7}{2 \cdot 2}

将解分隔开

p_{1} = \frac{- ( - 10 ) + 2 7}{2 \cdot 2}, p_{2} = \frac{- ( - 10 ) - 2 7}{2 \cdot 2}

p = \frac{- ( - 10 ) + 2 7}{2 \cdot 2} : \frac{5 + 7}{2}

p = \frac{- ( - 10 ) - 2 7}{2 \cdot 2} : \frac{5 - 7}{2}

二次方程组的解是:

p = \frac{5 + 7}{2}, p = \frac{5 - 7}{2}

作图

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