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受欢迎的代数 >

x^{1+log_{x}(36)}=6x^2

解答

x^{1 + l o g_{x} (36)} = 6 x^{2}

解答

x = 0, x = 6

求解步骤

x^{1 + l o g_{x} (36)} = 6 x^{2}

将

6 x^{2}

para o lado esquerdo

36 x - 6 x^{2} = 0

改写成标准形式

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

- 6 x^{2} + 36 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

3 6^{2} - 4 (- 6) \cdot 0 = 36

x_{1, 2} = \frac{- 36 \pm 36}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- 36 + 36}{2 ( - 6 )}, x_{2} = \frac{- 36 - 36}{2 ( - 6 )}

x = \frac{- 36 + 36}{2 ( - 6 )} : 0

x = \frac{- 36 - 36}{2 ( - 6 )} : 6

二次方程组的解是:

x = 0, x = 6

作图

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