z^2 = 100^2 – x^2
x From 0 to 100
for how many value of x. z is divisible by 6.

• for this I think there is a solution
  if we put x=80 then
  z^2=100^2-80^2
  z^2=10000-6400
  z^2=3600
  z=60 which is divisible by 6.
• 10 years agoHelpfull: Yes(21) No(1)
• Z^2= 100^2 - X^2 = (100+X)(100-x)
  Z=((100+X)(100-X))^1/2
  let X=0 then Z= (100*100)^1/2 = 100
  let X=1 then Z= (101*99)^1/2 = clearly not an integer and not divisible by 6
  no Solution
• 10 years agoHelpfull: Yes(6) No(6)
• z=sqrt{(100+x)(100-x)}
  for z should be divisble 6
  100+x=108,144,180 and 100-x=36,72
  so no of solution=5
• 10 years agoHelpfull: Yes(4) No(6)
• write a c program...you will get two values of x.
  x=28 and x=80...
• 9 years agoHelpfull: Yes(4) No(0)
• my above solution is wrong
  
  no of solution=zero
  
  z^2+(x^-100^2)=0
  
  z={-0+sqrt(4*1*(x^-100^2))}/2*1
  for divisible by 6 c
  c 4*1*(x^-100^2)=10
  x=100 or -100
  boath are not accsolution
  so no of solution will zero
  
• 10 years agoHelpfull: Yes(3) No(9)
• z^2 = 100^2 - X^2 it is form of triplet
  so, Z^2 + X^2 = 100^2
  it is form of triplet of 3,4,5 means (3^2 +4^2 =5^2)
  now , it can be true for if it is multiple of same no. like (60^2 + 80^2=100^2)
  
  So, it has 3 solution when (3,4,5) is multiply by (6,12,18) each time the equation is true and it is also divisible by 6
• 10 years agoHelpfull: Yes(3) No(0)
• there are 33 values of x which z divisible by 6.
  value of x =odd (not psbl)
  hence there are are 49 even nos.
  In 49 even nos. ,
  16 value of x which is divisible by x(6,12,18.......90,96)-not possible
  hence total no.=49-16=33
• 9 years agoHelpfull: Yes(2) No(0)
• the value of x=5
  2^2,2^3,2^4,2^5,2^6 .after putting these in place of x we easily get the result which divide z by 6
• 10 years agoHelpfull: Yes(0) No(0)
• z^2+x^2=100^2
  sqrt(z^2+x^2)=100
  since z is divisible by 6
  hence only one combination i.e. z=60 and x= 80
  hence only one solution
• 10 years agoHelpfull: Yes(0) No(0)
• i think x=28 & 80 will giv the z which is divisible by 6..
• 10 years agoHelpfull: Yes(0) No(1)
• X=82,64,46,28,10 and
  
  X=8,26,44,62,80,98
  
  total 11 values
• 9 years agoHelpfull: Yes(0) No(0)
• QUESTION IS WRONG.............
  Z THA Z^2 NAI
  
• 9 years agoHelpfull: Yes(0) No(0)
• question is z=100^2-x^2
  
  answer is 66....
• 9 years agoHelpfull: Yes(0) No(2)
• guys plzzz tell the right anssss
• 9 years agoHelpfull: Yes(0) No(0)
• x=28, z=96
• 8 years agoHelpfull: Yes(0) No(0)