| Directions: In the following, questions two equations numbered I and II and given. You have to solve both the equations an give answer. |
| I. \[6{{x}^{2}}+13x+5=0\] |
| II. \[9{{y}^{2}}+22y+8=0\] |
A) If\[x>y\]
B) If \[x\ge y\]
C) If \[x<y\]
D) If \[x\le y\]
E) If \[x=y\] or the relationship cannot be established
Correct Answer: E
Solution :
| I. \[6{{x}^{2}}+13x+5=0\] |
| \[\Rightarrow \] \[6{{x}^{2}}+3x+10x+5=0\] |
| \[\Rightarrow \]\[3x\,(2x+1)+5\,(2x+1)=0\] |
| \[\Rightarrow \] \[(3x+5)(2x+1)=0\]\[x=\frac{-1}{2},\]\[\frac{-5}{3}\] |
| II. \[9{{y}^{2}}+22y+8=0\] |
| \[\Rightarrow \] \[9{{y}^{2}}+18y+4y+8=0\] |
| \[\Rightarrow \] \[9y\,(y+2)+4\,(y+2)=0\] |
| \[\Rightarrow \] \[(9y+4)(y+2)=0\]\[\Rightarrow \]\[y=-2,\]\[\frac{-4}{9}\] |
| \[\therefore \] Relation cannot be determined. |
You need to login to perform this action.
You will be redirected in
3 sec
