First equation is [tex] x^{2} -8 = 1 [/tex] , subtract 1 from both sides , we get
[tex] x^{2} -9=0 [/tex]
This can easily be solved using Difference of Two Squares.
Second is [tex] 3x^{2} -x+17=0 [/tex] , As here the leading coefficient is 3 , it means to apply Completeing the squares , we have to divide all terms by 3 , and we will get fractions , and it will become complex , So better to solve this using using Quadratic formula.
Third is [tex] 5x^{2} +3x = 9 [/tex]
Here also the leading coefficient is 5 and we have to divide by 5 , all terms to apply Completing the squares , again we will get fractions , so it will become complex, so better to solve it using Quadratic formula.
Fourth is [tex] x^{2} +20x=52 [/tex]
This is a perfect equation to solve it using Completing the squares, as here the leading coefficient is already 1 ,
So fourth equation is the best one to solve using Completing the squares
