Homework Sourse8B8 8B 161803 Solve for BSolutionWe have 8B8 8B 161803 o
(8+B/8) - (8/B) = 1.61803
Solve for B.
Solution
We have (8+B/8) - (8/B) = 1.61803 or, [(64+B)/8] -8/B = 1.61803 or, [ B*(64+B)-8*8]/8B = 1.61803 or, (64B +B2 -64) = 1.61803 *8B or, B2 +64B – 12.94424 B -64 = 0 or, B2 + 51.05576 B -64 = 0. Now, on using the quadratic formula, we have B = [-51.05576±{(51.05576)2 -4*1*(-64)} /2*1 = [-51.05576±( 2606.6690629+256)]/2 =[-51.05576±(2862. 6690629)]/2 =( -51.05576± 53.5039162)/2. Thus, either B = 2.448156324/2 = 1.224078162 or, B = -104.5596762/2 = -52.2798381.
![(8+B/8) - (8/B) = 1.61803 Solve for B.SolutionWe have (8+B/8) - (8/B) = 1.61803 or, [(64+B)/8] -8/B = 1.61803 or, [ B*(64+B)-8*8]/8B = 1.61803 or, (64B +B2 -64)](/WebImages/33/8b8-8b-161803-solve-for-bsolutionwe-have-8b8-8b-161803-o-1096193-1761578099-0.webp "(8+B/8) - (8/B) = 1.61803 Solve for B.SolutionWe have (8+B/8) - (8/B) = 1.61803 or, [(64+B)/8] -8/B = 1.61803 or, [ B*(64+B)-8*8]/8B = 1.61803 or, (64B +B2 -64)")
