Question

### Gauthmathier8983

Grade 11 · 2020-11-04

If x^{2}＋y^{2}=2xy and x>0 and y>0, then （ ）

Good Question (91)

Answer

4.9(521) votes

### Gauthmathier2252

Grade 11 · 2020-11-04

Answer

E

Explanation

Simplify by subtracting to get form of Equation 3: x^{2}－2xy＋y^{2}=(x－y)(x－y). That is, subtract 2xy from both sides of given problem equation to get x^{2}－2xy＋y^{2}=0. Thus (x－y)(x－y)=x^{2}－2xy＋y^{2}=0 so x－y=0 and thus x=y.

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