CUET Preparation Today
CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If a + b = 9,
\(\frac{2}{3}\)ab = 12, then
find the value of a2 + b2+ 4.
66
49
24
59
a + b = 9
\(\frac{2}{3}\)ab = 12
ab = 18
Now,
⇒ (a+b)2 = (9)2
⇒ a2 + b2 + 2ab = 81
⇒ a2 + b2 = 81 - 2\(\times\) 18 = 45
⇒ a2 + b2 + 4 = 45 + 4 = 49