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受欢迎的代数 >

a^2=asqrt(5)

解答

a^{2} = a 5

解答

a = 5, a = 0

+1

十进制

a = 2.23606 \dots, a = 0

求解步骤

a^{2} = a 5

将

a 5

para o lado esquerdo

a^{2} - a 5 = 0

改写成标准形式

a x^{2} + b x + c = 0

a^{2} - 5 a = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot 0 = 5

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

将解分隔开

a_{1} = \frac{- ( - 5 ) + 5}{2 \cdot 1}, a_{2} = \frac{- ( - 5 ) - 5}{2 \cdot 1}

a = \frac{- ( - 5 ) + 5}{2 \cdot 1} : 5

a = \frac{- ( - 5 ) - 5}{2 \cdot 1} : 0

二次方程组的解是:

a = 5, a = 0

作图

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