Question

x+5=5 and xy=6 find the value of x^2+y^2

Answer 1

Your question needs a correction :

correct question : x+y=5 and xy=6 find the value of x^2+y^2

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Solution :

x + y = 5 

Square on both sides,

(x + y)² = 5²


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We know, (a + b)² = a² + b² + 2ab
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(x + y)² = 5² 

x² + y² + 2xy = 25

x² + y² + 2(6) = 25 

x² + y² + 12 = 25

x² + y² = 25 - 12 

x² + y² = 13


i hope this will help you


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Answer 2

i think there should be y in place of x+y
x+y =5
and,xy= 6
so,(x+y)^2 =x^2 +y^2 +2xy
=(5)^2 =x^2+y^2 +2*6
=25=x^2 +y^2+12
x^2+y^2+=25-12
x^2+y^2= 13