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受欢迎的代数 >

2^x-x^2=0

解答

2^{x} - x^{2} = 0

解答

x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )}, x = 2, x = 4

+1

十进制

x = - 0.76666 \dots, x = 2, x = 4

求解步骤

2^{x} - x^{2} = 0

将

x^{2}

到右边

2^{x} = x^{2}

对方程式两边

\frac{1}{2}

次方

(2^{x})^{\frac{1}{2}} = (x^{2})^{\frac{1}{2}}

化简

(2^{x})^{\frac{1}{2}} : 2^{\frac{x}{2}}

化简

(x^{2})^{\frac{1}{2}} : ∣ x ∣

解

2^{\frac{x}{2}} = ∣ x ∣ : x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )} or x = 2 or x = 4

x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )}, x = 2, x = 4

作图

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