Question

2a+b=11 ab=24 find the value of 4a2 + b2

Answer 1

4a²+b²=25

Step-by-step explanation:

2a+b=11

Squaring on both the sides

(2a+b)²=(11)²

4a²+b²+4ab=121

4a²+b²+4(24)=121{ab=24}

4a²+b²+96=121

4a²+b²=121-96

4a²+b²=25

Therefore, the value of 4a²+b² is 25.