If 
is the A.M. of the roots of the equation 
and 
is the G.M. of the roots of the equation 
, then
Text Solution
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Based on Vieta's formulas for quadratic equations, we can determine the relationship between the arithmetic mean 
and geometric mean 
of the roots for the given equations:
• Equation 1: 
• Let the roots be 
and 
.
• Sum of roots 
.
• Arithmetic Mean 
.
• Equation 2: 
• Let the roots be 
and 
.
• Product of roots 
.
• Geometric Mean (G) 
(assuming 
).
Since both 
and 
simplify to 
, we conclude that 
.
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