can someone tell me if i did the problem correct (solve by completing the square) 4x^2+2x-3=0

Question

x^2+(1/2)=3/4
x^2+(1/2)+(1/4)^2=3/4+(1/4)^2
(x+1/4)^2=13/16
x+1/4=+-sqrt 13/16
x+1/4=+-sqrt 13/4
x=-1/4+-sqrt 13/4
x=-1+-sqrt 13/4

Answer 1

x^2+(1/2)=3/4 should say

x^2+(1/2x)=3/4 also in the line that follows that you left out the x in the second term

to avoid problems with order of operation, write your final answer this way

x=(-1+-sqrt 13)/4 the way you have it only the square root term would be divided by 4