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受欢迎的代数 >

a^2-3a-1=6

解答

a^{2} - 3 a - 1 = 6

解答

a = \frac{3 + 37}{2}, a = \frac{3 - 37}{2}

+1

十进制

a = 4.54138 \dots, a = - 1.54138 \dots

求解步骤

a^{2} - 3 a - 1 = 6

将

6

para o lado esquerdo

a^{2} - 3 a - 7 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 7 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 7) = 37

a_{1, 2} = \frac{- ( - 3 ) \pm 37}{2 \cdot 1}

将解分隔开

a_{1} = \frac{- ( - 3 ) + 37}{2 \cdot 1}, a_{2} = \frac{- ( - 3 ) - 37}{2 \cdot 1}

a = \frac{- ( - 3 ) + 37}{2 \cdot 1} : \frac{3 + 37}{2}

a = \frac{- ( - 3 ) - 37}{2 \cdot 1} : \frac{3 - 37}{2}

二次方程组的解是:

a = \frac{3 + 37}{2}, a = \frac{3 - 37}{2}

作图

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