Math, asked by chandrikaborah355, 24 days ago

If x+y= 5 ,xy = 10 ..Find x2 + y2​

Answers

Answered by sonidevi8319
2

Answer:

Given: x+y=5,and xy=10

so,

(x+y)^2=x^2+y^2+2xy

(5)^2=x^2+y^2+2×10.

25=x^2+y^2+20

25-20=x^2+y^2

5=x^2+y^2

Answered by xxitssagerxx
1

\huge{\underline{\underline{\bf{ SoLuTiOn\: - }}}}♡

Given that: x−y=3 And xy = 10

Using the given identity: (a−b)2 = a2−2ab+b2

So, (x−y)2 = x2−2xy+y2

⇒ (x−y)2 = x2−2(10)+y2

⇒ (3)2 = x2−20+y2

⇒ 9 = x2+y2−20

⇒ 9+20 =x2+y2

⇒ x2+y2 = 29

The correct answer is x2+y2=29

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