general
Maths Puzzle
If the difference of two numbers is 10 and their product is 17, what is the sum of their squares? Explain?
Read Solution (Total 6)
-
- sum of squares , x^2 +y^2 = (x-y)^2 +2xy = 100 +34 = 134
- 12 years agoHelpfull: Yes(3) No(0)
- 134 is the answer
x+y=10
x*y=17
(x+y)^2=168
x^2+y^2=(x+y)^2-2*x*y
168-34=134 - 12 years agoHelpfull: Yes(2) No(1)
- 168
(x+y)^2= (x-y)^@ + 4xy - 12 years agoHelpfull: Yes(1) No(1)
- sum of squares
, x^2 +y^2 = (x-y)^2 +2xy
= 100 +34 = 134 - 12 years agoHelpfull: Yes(0) No(0)
- a-b=10
ab=17
(a-b)^2-2ab=a^2+b^2
100-34=a^2+b^2
then a^2+b^2=66
ans is 66 - 8 years agoHelpfull: Yes(0) No(0)
- a-b=10
ab-17
(a-b)^2+2ab=a^2+b^2
100+34=a^2+b^2
then sum of squares is 134 - 8 years agoHelpfull: Yes(0) No(0)
general Other Question