Answer:
[tex]\frac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
First, we see that we have the term [tex]2x^{-2}[/tex] . When we have a negative exponent, we can always flip the number to its reciprocal and take the reciprocal to the positive exponent.
For example: here we have [tex]2x^{-2}[/tex] . To turn this into positive exponents, we now have: [tex]2*\frac{1}{x^2}[/tex] .
So, we have: [tex]2*\frac{1}{x^2}[/tex] = 4
Divide both sides by 4 and multiply both sides by x^2:
[tex]x^{2} =1/2[/tex]
Square root both sides:
[tex]x=\sqrt{1/2} =\frac{\sqrt{2}}{2}[/tex]
Thus, the answer is [tex]\frac{\sqrt{2}}{2}[/tex] .
Hope this helps!
