A) \[{{x}^{2}}-18x-16=0\]
B) \[{{x}^{2}}-18x+16=0\]
C) \[{{x}^{2}}+18x-16=0\]
D) \[{{x}^{2}}+18x+16=0\]
Correct Answer: B
Solution :
Let the two number is \[{{x}_{1}}\] and \[{{x}_{2}}\] \[\frac{{{x}_{1}}+{{x}_{2}}}{2}=9\] and \[{{x}_{1}}{{x}_{2}}=16\] \[{{x}_{1}}+{{x}_{2}}=18\]and\[{{x}_{1}}{{x}_{2}}=16\]. Equation \[{{x}^{2}}-(\text{Sum of roots)}x+\text{Product of roots}=\text{0}\] Required equation\[{{x}^{2}}-18x+16=0\].
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