Equations And Inequations Ques 60
I. $\sqrt{1225} x+\sqrt{4900}=0$
II. $(81)^{\frac{1}{4}} y+(343)^{\frac{1}{3}}=0$
Directions : In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer If
(1) $x>y$
(2) $\quad x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $x=y$ or the relationship cannot be established
(Bank Of Baroda PO Exam.13.03.2011)
Show Answer
Correct Answer: (1)
Solution: (1) I. $\sqrt{1225} x+\sqrt{4900}=0$ $\Rightarrow 35 x+70=0$
$\Rightarrow 35 x=-70 \Rightarrow x=\frac{-70}{35}=-2$
II. $\left(3^{4}\right)^{\frac{1}{4}} y+\left(7^{3}\right)^{\frac{1}{3}}=0$
$\Rightarrow 3 y+7=0 \quad\left[\left(a^{m}\right)^{n}=a^{m n}\right]$
$\Rightarrow y=\frac{-7}{3}$
Clearly, $x>y$
BETA
