A) 0
B) \[-\,2\]
C) 2
D) 4
Correct Answer: C
Solution :
| [c] \[\sqrt{x}=\sqrt{3}-\sqrt{5}\]\[\Rightarrow \]\[{{(\sqrt{x})}^{2}}={{(\sqrt{3}-\sqrt{5})}^{2}}\] \[\Rightarrow \] \[x=3+5-2\sqrt{15}\] \[\Rightarrow \] \[x-8=-\,2\sqrt{15}\] \[\Rightarrow \] \[{{(x-8)}^{2}}={{(-2\sqrt{15})}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+64-16=60\] \[\Rightarrow \] \[{{x}^{2}}-16x+4=0\]\[\Rightarrow \]\[{{x}^{2}}-16x+6=2\] |
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