need help I know that 1/2, 3/2 should be the answer but when I work it out I dont get that please help me understand. where I am going wrong. thank you

Hi Roseland,

checking 1/2 and 3/2 ,,,,these are not roots

1.2x

^{2}-8x+3=02.x

^{2}-4x=-3/2……….divide both sides by 2 and subtract 3/2 from both sides3.x

^{2}-4x+4=5/2 ……. Add 1/2 of the coefficient of x squared to both sides4.(x-2)

^{2}=5/2 ………..the left hand side is now a perfect square5.x1=2+(5/2)

^{1/2}x2=2-(5/2)^{1/2}……….solve for x1 and x2 the two rootsThis process is called completing the square

Jim