Equations And Inequations Ques 109

I. $x^{2}-5 x-84=0$

II. $y^{2}-4 y-60=0$

Directions : In each of these questions, two equations I and II are given. Solve both the equations and select the appropriate answer from the codes given below.

(1) If $x>y$

(2) If $x \geq y$

(3) If $x<y$

(4) If $x \leq y$

(5) If $x=y$ or no relationship can be established between $x$ and $y$

IBPS Bank PO/MT CWE (Prelim Exam)

Show Answer

Correct Answer: 109.(5)

Solution: (5) I. $x^{2}-5 x-84=0$

$\Rightarrow x^{2}-12 x+7 x-84=0$

$\Rightarrow x(x-12)+7(x-12)=0$

$\Rightarrow(x+7)(x-12)=0$

$\Rightarrow x=-7$ or 12

II. $y^{2}-4 y-60=0$

$\Rightarrow y^{2}-10 y+6 y-60=0$

$\Rightarrow y(y-10)+6(y-10)=0$

$\Rightarrow(y+6)(y-10)=0$

$\Rightarrow y=-6$ or, 10