Question
If $a^2+ b^2= 74$ and $ab = 35$, then find $a + b$.
✓
Answer
Given, $a^2+ b^2= 74$ and $ab = 35$
Since,
$(a + b)^2= a^2+ b^2+ 2ab (a + b)^2$
$= 74 + 2 \times 35$
$(a + b)^2= 144$
$\text{a}+\text{b}=\sqrt{144}$
$= 12$
Since,
$(a + b)^2= a^2+ b^2+ 2ab (a + b)^2$
$= 74 + 2 \times 35$
$(a + b)^2= 144$
$\text{a}+\text{b}=\sqrt{144}$
$= 12$
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