Question 34271
{{{ (x - 3/2)² = 7/4 }}}
square root both sides
{{{ (x-3/2) = sqrt(7)/2 }}}
Find comon denominators
{{{ (2x/2)-(3/2) = sqrt(7)/2 }}}
Drop the denominators
{{{ 2x-3 = sqrt(7) }}}
Add 3 to both sides
{{{ 2x = 3+sqrt(7) }}}
Divide by 2
{{{ x = (3+sqrt(7))/2 }}}