CUET Preparation Today
CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If a + b = 11 and ab = 35, then what is the value of $(a^4+b^4)$?
151
261
124
102
If a + b = 11
ab = 35
If a + b = n
Then a2 + b2 = n2 - 2ab
So, a2 + b2 = 112 - 2 × 35
a2 + b2 = 121 - 70 = 51
and,
a4 + b4 = 512 - 2 × 35 × 35 = 151