Question

solve 2x²-5x+3=0 in completing square method​

Answer 1

Answer:

1

2x2/2 - 5x/2 + 3/2 = 0 (dividing both sides by 2) x2 - 5x/2 + 3/2 = 0 [x2 - 5x/2 + (5/4)2] - (5/4)2 + 3/2 = 0 [x - 5/4]2 - 25/16 + 3/2 = 0 [x - 5/4]2 - (25-24)/16 = 0 [x - 5/4]2 - 1/16 = 0 [x - 5/4]2 = 1/16 x - 5/4 = ± 1/4 (square rooting on both sides) x = 1/4 + 5/4 or x = -1/4 + 5/4 x = (1+5)/4 or x = (-1+5)/4 x = 6/4 or x = 4/4 x = 3/2 or x = 1