Answer:
x can be replaced by 8 and -8
Step-by-step explanation:
Given : 1: x = x:64
We have to find the value of x,
Consider 1: x = x:64
This is same as writing,
\(\frac{1}{x}=\frac{x}{64}\)
\(\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\)
\(64=x^2\)
Taking square root both sides, we have,
\(x=\sqrt{64}\)
We know \(\sqrt{64}=\pm 8\)
\(x=\pm 8\)
Thus, x has two values x = 8 and x = -8
