How do you solve #2x^2 - x - 5 = 0# by completing the square?
From the given
Factor out the 2 from the first two terms so that the coefficient of
Now take note of the 1/2 coefficient of x. Divide this 1/2 by 2 it becomes 1/4. Square it, it will become 1/16. This 1/16 will be added and subtracted to the terms inside the grouping symbol.
Let us continue
Now, transpose the 5 to the right side then divide both sides by 2 then transpose the 1/16
Extract the square root of both sides
God bless...I hope the explanation is useful.