CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Algebra
If a2 + b2 = 4b + 6a - 13
find (a+b)2 - 10.
10
15
20
25
a2 + b2 = 4b + 6a - 13 = 0
a2 - 6a + b2 - 4b + 13 = 0
a2 - 6a + 9 + b2 - 4b + 4 = 0
(a - 3)2 + (b - 2)2 = 0
⇒ a = 3 and b = 2
Now
⇒ (a + b)2 - 10 = (3 + 2)2 - 10 = 15
