Answer:
2(x-3/4)^2 - 49/8 = 0
Step-by-step explanation:
2x^2 - 3x - 5 = 0
First take out the 2: 2 [x^2 -3/2x - 5/2] = 0
Now complete the square inside the square brackets: 2 [(x-3/4)^2 - 9/16 - 5/2] = 0
Simplify inside the square brackets: 2 [(x-3/4)^2 - 49/16] = 0
Now times out the square brackets: 2(x-3/4)^2 - 49/8 = 0
And we're done!
