At what value of x(in megabytes) will A(x)=0? Show all of your work details

ANSWER :
204.082 megabytes
EXPLANATION :
From the problem, we have the equation :
[tex]A(x)=\frac{100}{\sqrt[]{x}}-7[/tex]Solve for x when A(x) = 0.
That will be :
[tex]\begin{gathered} 0=\frac{100}{\sqrt[]{x}}-7 \\ 7=\frac{100}{\sqrt[]{x}} \\ \text{Cross multiply :} \\ 7\sqrt[]{x}=100 \\ \sqrt[]{x}=\frac{100}{7} \\ \text{Square both sides :} \\ x=(\frac{100}{7})^2 \\ x=204.082 \end{gathered}[/tex]The value of x is 204.082