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受欢迎的代数 >

1/2 a^2-a-5/2 =0

解答

\frac{1}{2} a^{2} - a - \frac{5}{2} = 0

解答

a = 1 + 6, a = 1 - 6

+1

十进制

a = 3.44948 \dots, a = - 1.44948 \dots

求解步骤

\frac{1}{2} a^{2} - a - \frac{5}{2} = 0

在两边乘以

2

a^{2} - 2 a - 5 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 5) = 26

a_{1, 2} = \frac{- ( - 2 ) \pm 2 6}{2 \cdot 1}

将解分隔开

a_{1} = \frac{- ( - 2 ) + 2 6}{2 \cdot 1}, a_{2} = \frac{- ( - 2 ) - 2 6}{2 \cdot 1}

a = \frac{- ( - 2 ) + 2 6}{2 \cdot 1} : 1 + 6

a = \frac{- ( - 2 ) - 2 6}{2 \cdot 1} : 1 - 6

二次方程组的解是:

a = 1 + 6, a = 1 - 6

作图

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25 b^{2} + 24 b + 9 = - 6 b

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