Question

2) If a + b = 4 and ab = 4, find the value of a2 + b2

Answer 1

Answer:

a²+b²=8

Step-by-step explanation:

ab=4

a+b=4

Squaring on both the sides

(a+b)²=(4)²

a²+b²+2ab=16

a²+b²+2(4)=16

a²+b²+8=16

a²+b²=16-8

a²+b²=8

Therefore, the value of a²+b² is 8.