Question

The possible values of x in the equation x^2-3/4x=-1/4 are _____ ± _____ .

Answer 1

x^2-3/4x=-1/4 implies x^2-3/4x+1/4=0
Comparing this equation with ax^2+bx+c=0 we have a=1,b=-3/4 and c=1/4
D=b^2-4*a*c=-7/16
so roots are
\[(-b \pm \sqrt{D})/2a\]
final answer is
\[(3/8)\pm (\sqrt{7}/8)i\]