| Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015] |
A) lf \[x<y\]
B) If \[x>y\]
C) If\[x\ge y\]
D) If \[x\le y\]
E) If relationship between x and y cannot be established
Correct Answer: A
Solution :
| [a] I. \[3{{x}^{2}}+29x+56=0\] |
| \[\Rightarrow \] \[3{{x}^{2}}+21x+8x+56=0\] |
| \[\Rightarrow \] \[3x\,(x+7)+8\,(x+7)=0\] |
| \[\Rightarrow \] \[(3x+8)(x+7)=0\,\,\Rightarrow \,\,x=-7,\]\[-\frac{8}{3}\] |
| II. \[2{{y}^{2}}+15y+25=0\] |
| \[\Rightarrow \] \[2{{y}^{2}}+10y+5y+25=0\] |
| \[\Rightarrow \] \[2y\,(y+5)+5\,(y+5)=0\] |
| \[\Rightarrow \] \[(y+5)(2y+5)=0\Rightarrow y=-5,\]\[-\frac{5}{2}\] |
| Hence, \[y>x\] |
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