the sum two number x and y is 10 and their product is 8.

Asked by melodygaming0017 | 17th Sep, 2021, 08:45: PM

Expert Answer:

Given information :- 
 
Sum of numbers ,  X + Y = 10 .................... (1)
 
Product of numbers ,  X Y = 8  ....................(2)
 
From eqn.(1) , we get , Y = ( 10 - X ) 
 
If we substitute Y in eqn.(2) , X ( 10 - X ) = 8  or  X2 -10X + 8 = 0 ................(3)
 
Roots of above quadratic equation are  5+begin mathsize 14px style square root of 17 end style   and  5 - begin mathsize 14px style square root of 17 end style 
Numbers are same as roots of quadratic equations .
 
Hence numbers are , 9.123 and 0.877

Answered by Thiyagarajan K | 17th Sep, 2021, 11:20: PM