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受欢迎的代数 >

(x)=x^{(1/3)}(x+4)

解答

(x) = x^{(\frac{1}{3})} (x + 4)

解答

x = 0, x \approx - 2.27183 \dots

求解步骤

(x) = x^{(\frac{1}{3})} (x + 4)

展开

x^{\frac{1}{3}} (x + 4) : x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}}

x = x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}}

因式分解

x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}} : x^{\frac{1}{3}} (x + 4)

x = x^{\frac{1}{3}} (x + 4)

对方程式两边

3

次方:

x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x

x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x

解

x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x : x = 0, x \approx - 2.27183 \dots

x = 0, x \approx - 2.27183 \dots

验证解:

x = 0

真

, x \approx - 2.27183 \dots

真

解为

x = 0, x \approx - 2.27183 \dots

作图

流行的例子

(5z-1)^{1/4}-4=-2

(5 z - 1)^{\frac{1}{4}} - 4 = - 2

x^{1.15}=1.02678x^{1.4}

x^{1.15} = 1.02678 x^{1.4}

2 x - 3 - 1 = x

4= x/(2sqrt(x-2))

4 = \frac{x}{2 x - 2}

sqrt(2x+1)+sqrt(x-1)=4

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