Equations And Inequations Ques 108

I. $x^{2}-18 x-63=0$

II. $y^{2}-8 y-48=0$

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: 108.(5)

Solution: (5) I. $x^{2}-18 x-63=0$

$\Rightarrow x^{2}+3 x-21 x-63=0$

$\Rightarrow x(x+3)-21(x+3)=0$

$\Rightarrow(x+3)(x-21)=0$

$\Rightarrow x=-3$ or 21

II. $y^{2}-8 y-48=0$

$\Rightarrow y^{2}+4 y-12 y-48=0$

$\Rightarrow y(y+4)-12(y+4)=0$

$\Rightarrow(y-12)(y+4)=0$

$\Rightarrow y=12$ or, -4