In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: I.x2+5x+6=0 II.y2+9y+14=0
A
x < y
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B
x > y
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C
x y
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D
x y
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E
x = y or the relationship between 'x' & 'y' cannot be determined
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Solution
The correct option is E x = y or the relationship between 'x' & 'y' cannot be determined I.x2+3x+2x+6=0⇒(x+3)(x+2)=0⇒x=−3or−2II.y2+7y+2y+14=0⇒(y+7)(y+2)=0⇒y=−7or−2 Hence, no definite relationship can be established between x and y.