By how much does the larger root of the equation 2q^2+5q = 12 exceed the smaller root?	Select:
A) 5 / 2	B) 10 / 3	C) 7 / 2	D) 14 / 3	E) 11 / 2

Rationale: "for 2 q ^ 2 + 5 q = 12 roots are [ - 5 + sqrt ( 25 + 96 ) ] / 4 or [ - 5 - sqrt ( 25 + 96 ) ] / 4 = 1.5 or - 4 hence larger root 1.5 is 1.5 - ( - 4 ) = 5.5 = 11 / 2 greater than smaller root ( - 4 ) . hence option ( e ) ."
Answer: E