Question
If $a^2 + b^2 = 29$ and $ab = 10$, find :$ a − b$
✓
Answer
$ (a-b)^2=a^2+b^2-2 a b$
$ \Rightarrow(a-b)^2=29-2 \times 10$
$ \Rightarrow(a-b)^2=29-20$
$ \Rightarrow(a-b)^2=9$
$ \Rightarrow a-b=\sqrt{9}$
$ \Rightarrow a-b= \pm 3$
$ \Rightarrow(a-b)^2=29-2 \times 10$
$ \Rightarrow(a-b)^2=29-20$
$ \Rightarrow(a-b)^2=9$
$ \Rightarrow a-b=\sqrt{9}$
$ \Rightarrow a-b= \pm 3$
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