Number System Ques 37
Question
25 times the square of a number is added to 15 times the same number. The result is equal to 2 . Find the bigger number.
(1) -0.4
(2) 0.4
(3) -0.2
(4) 0.2
(5) 0.6
(IBPS Bank PO MT CWE Prelim Exam, 04.12.2021)
Show Answer
Answer: (3)
Solution: (3)
Let the number be $x$.
$\therefore 25 x^{2}+15 x+2=0$
$\Rightarrow 25 x^{2}+10 x+5 x+2=0$
$\Rightarrow 5 x(5 x+2)+1(5 x+2)=0$
$\Rightarrow(5 x+2)(5 x+1)=0$
$\Rightarrow x=-\frac{2}{5}$ or $-\frac{1}{5}$ $=-0.4$ or $-0.2$
$\therefore$ largest number $=-0.2$