Latest Exam Aptitude Question SOLUTION: The sum of two numbers is 4, and their product is -32. find the numbers.

• Placement Papers
• /
• Exam
• /
• Number System

Exam Question Papers:

(#M40036810) EXAM question Keep an EYE

The sum of two numbers is 4, and their product is -32. find the numbers.

Asked In Exam (10 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (0)   (0) Submit Your Solution Number System

Read Solution (1) :

P.Someshwar Reddy  (10 years ago)

let two numbers be x and y
given there sum is 4
=>x+y=4........(1)
and given there product is -32
=>x*y= -32.....(2)
by using this (x-y)^2=((x+y)^2)-4xy, we will be able to find x-y
=>(x-y)^2=(4^2)-4(-32) (because x+y=4 and x*y=-32 from above (1)and(2))
=>(x-y)^2=16+128
=>(x-y)^2=144
applying square root on both sides
=>(x-y)=12
since x+y=4 and x-y=12
adding the above two equations
x+y=4
x-y=12
=>2x=16 =>x=8
substituting x=8 in either of the equation
we get y= -4 (x+y=4 => 8+y=4 => y= -4)

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.