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\frac{\frac{1}{4}\sqrt{x-1}}{\frac{1}{4}}=\frac{2}{\frac{1}{4}}
Multiply both sides by 4.
\sqrt{x-1}=\frac{2}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
\sqrt{x-1}=8
Divide 2 by \frac{1}{4} by multiplying 2 by the reciprocal of \frac{1}{4}.
x-1=64
Square both sides of the equation.
x-1-\left(-1\right)=64-\left(-1\right)
Add 1 to both sides of the equation.
x=64-\left(-1\right)
Subtracting -1 from itself leaves 0.
x=65
Subtract -1 from 64.