By how much does the larger root of the equation 2b^2+5b = 12 exceed the smaller root?  Pick one:
A) 5/2 B) 10/3 C) 7/2 D) 14/3 E) 11/2
For 2b^2+5b = 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)= 
<gadget id="calculator"> 1.5 - (-4)</gadget>
<output>5.5</output>
5.5= 11/2 greater than smaller root (-4).   Hence option (11/2).
<result>E</result>
By how much does the larger root of the equation 2b^2+5b = 12 exceed the smaller root?