Question

if x+ y= 11 and xy = 24 findx² +y²​

Answer 1

Answer:

73

Step-by-step explanation:

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

Answer 2

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