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受欢迎的代数 >

sqrt(4px)=(x^2)/(4p)

解答

4 p x = \frac{x ^{2}}{4 p}

解答

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

求解步骤

4 p x = \frac{x ^{2}}{4 p}

在两边乘以

4 p

4 p x \cdot 4 p = \frac{x ^{2}}{4 p} \cdot 4 p

化简

4 p x \cdot 4 p = x^{2}

两边进行平方:

64 p^{3} x = x^{4}

64 p^{3} x = x^{4}

解

64 p^{3} x = x^{4} : x = 0, x = 4 p, x = - 2 p + 23 i p, x = - 2 p - 23 i p

x = 0, x = 4 p, x = - 2 p + 23 i p, x = - 2 p - 23 i p

去除复数解:

x = - 2 p + 23 i p, x = - 2 p - 23 i p

验证解:

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

解为

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

作图

流行的例子

\sqrt[5]{33-x}+\sqrt[5]{x}=3

5 33 - x + 5 x = 3

10=sqrt((0-k)^2+(2k-0)^2)

10 = (0 - k)^{2} + (2 k - 0)^{2}

\sqrt[3]{x^2-4}=0

3 x^{2} - 4 = 0

sqrt(x+3)+sqrt(x-2)=5

x + 3 + x - 2 = 5

a = x^{2} - 1