Question

Solve the equation below by completing the square and then solving for ('x')

x^2+x+1=7/4
HELP !!! Please show steps ! Thank you !

A. x=1 or x=-1
B. x=1/2 or x=-1/2
C. x=-3/2 or x=-1/2
D.x =1 or x=1

Answer 1

x^2+x+1=7/4 -> (x^2+x+1) - 1 = 7/4 - 1 -> x^2+x = 3/4 -> x^2+x + (1/2)^2 = 3/4 + (1/2)^2 -> (x + 1/2)^2 = 1. Take square roots. x + 1/2 = +-1 -> x = -3/2 or -1/2

Answer 2

Thank you !