solve for x & y
x+sqrt(y)=11
y+sqrt(x)=7
plz give solution

• x + √y = 11 ----> x = 11 - √y
  y + √x = 7
  y + √(11 - √y) = 7
  √(11 - √y) = 7 - y
  11 - √y = 49 - 14y + y^2
  -√y = y^2 - 14y + 38
  y = y^4 - 28y^3 + 272y^2 - 1064y + 1444
  y^4 - 28y^3 + 272y^2 - 1065y + 1444 = 0
  (y - 4)(y^3 - 24y^2 + 176y - 361) = 0
  y = 4 or three irrational roots
  
  x + √4 = 11
  x + 2 = 11
  x = 9
• 11 years agoHelpfull: Yes(3) No(0)
• 1st take 2 no. from 1 which are perfect square .
  just think by your aptitude the ans is simply x = 9 and y = 4
• 11 years agoHelpfull: Yes(1) No(1)
• put x=a^2, y=b^2
  eq. will be a^2+b=11 & a+b^2=7
  (a^2+b)-(a+b^2)=4
  (a^2-b^2)-(a-b)=4
  (a-b)(a+b-1)=4
  Since the only way to obtain 4 by multiplying is either 2∗2 or 4∗1
  first taking 2*2
  a-b=2 & a+b=3;
  a=5/2 & b=1/2 it doesn't satisfy the given conditions
  now taking (a-b)=1 & (a+b-1)=4
  a=3,b=2
  Hence x=9,y=4
  
• 11 years agoHelpfull: Yes(1) No(0)
• x=4.4(approx)
  y=43.56(approx)
  the solution can be obtained by solving the equation simultenous
  we get equation as
  114+(x)^0.5=x^2+22x this can be solved rigrously or by graph
• 11 years agoHelpfull: Yes(0) No(1)
• x=9, y=4
  just direct calculation.
• 11 years agoHelpfull: Yes(0) No(0)