Answer:
(x-11/4)^2 = 9/16
Step-by-step explanation:
2x^2 -11x+14 = 0
Subtract 14 from each side
2x^2 -11x+14-14 = -14
2x^2 -11x = -14
Divide each side by 2
2/2x^2 -11/2 x = -14/2
x^2 -11/2 x = -7
Take the coefficient of x
-11/2
Divide by 2
-11/2 /2 = -11/4
Square it
(-11/4) ^ = 121/16
Add this to each side
x^2 -11/2 x + 121/16= -7+121/16
(x+ -11/4)^2 = -7*16/16 + 121/16
(x-11/4)^2 = -112/16 +121/16
(x-11/4)^2 = 9/16
