SOLUTION: I really don't know about this problem. I'm confused. I have to solve this problem by completing the square: 2x(squared)+5x-8=0 Can you help me? Please and Thank you. :)

Hi

2x^2 + 5x - 8 = 0 Note: the use of the ^ (upper case 6)

completing the square

2(x^2 + 5/2x) - 8 = 0

2[(x +5/4)^2 - 25/16] - 8 = 0

2(x + 5/4)^2 -25/8 - 8 = 0

2(x + 5/4)^2 -25/8 - 64/8 = 0

2(x + 5/4)^2  = 89/8 

 (x+5/4)^2 = 89/16   

  x + 5/4 = ± sqrt(89/16)

      x = -5/4 ± sqrt(89)/4 = (-5 ± sqrt(89))/4



Note: solving with Quadratic equation to check our Answer