Math, asked by adrikabrahma26, 4 days ago

if x+ y= 11 and xy = 24 findx² +y²​

Answers

Answered by bharanid299
1

Answer:

73

Step-by-step explanation:

  • x + y = 11
  • xy = 24
  •  {(x + y)}^{2}  =  {x}^{2}  +  {y}^{2}  + 2xy
  •  {11}^{2}  =  {x}^{2}  +  {y}^{2}  + 2(24)
  • 121 =  {x}^{2}  +  {y}^{2}  + 48
  •  {x}^{2}  +  {y}^{2}  = 121 - 48
  •  {x}^{2}  +  {y}^{2}  = 73

Answered by pritikumari1221
0

Step-by-step explanation:

x+y=11

on squaring both sides

(x+y)2=(11)2

x2+y2+2xy=121

x2+y2=2×24=121

x2+y2+48=121

x2+y2=121-48

x2+y2=73

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