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 $=-0.2$