For which equation does it make the most sense to solve by completing the square? x2−8=1 3x2−x+17=0 5x² + 3x = 9 x² + 20x = 52

First equation is , subtract 1 from both sides , we get

This can easily be solved using Difference of Two Squares.

Second is , 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

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

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

i recommend you do what your heart desires. if you're attracted to the same gender, then you're attracted to the same gender. you can't determine what your heart wants.