A) \[A\pm ({{A}^{2}}-{{G}^{2}})\]
B) \[\sqrt{A}\pm \sqrt{{{A}^{2}}-{{G}^{2}}}\]
C) \[A\pm \sqrt{(A+G)(A-G)}\]
D) \[\frac{A\pm \sqrt{(A+G)(A-G)}}{2}\]
Correct Answer: C
Solution :
A.M. \[=\frac{a+b}{2}=A\] and G.M. \[=\sqrt{ab}=G\] On solving \[a\] and \[b\]are given by the values \[A\pm \sqrt{(A+G)(A-G)}\]. Trick: Let the numbers be 1, 9. Then \[A=5\] and \[G=3\]. Now put these values in options. Here (c) \[\Rightarrow 5\pm \sqrt{8\times 2}\ i.e.\] 9 and 1.
You need to login to perform this action.
You will be redirected in
3 sec
