If $$(x + y)^2 = 17$$, and $$xy = 3$$, then $$x^2 + y^2 = $$

Question

Uniteasy Admin · Accepted Answer

Perfect Square Identity
$$(x + y)^2 = x^2+2xy+y^2$$
Represent $$x^2+y^2$$ in terms of $$(x + y)^2$$ and $$xy$$
$$x^2+y^2 = (x + y)^2-2xy$$
Substituting given values 
$$ x^2+y^2$$
$$ = 17-2	imes 3$$
$$=17-6$$
$$=11$$

Multiple Choice Question (MCQ)

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