Question

If (a+b) = 20 and ab = 75 then find the value of $a^2+b^2$

• A. 400
• B. 250
• C. 200
• D. None of the above

Answer 1

The correct option is B 250

$\because a^2+b^2=(a+b{)}^2-2ab$
$\therefore a^2+b^2=(20{)}^2-2(75)$
$\Rightarrow 400-150$
$\Rightarrow 250$