If a + b = 2 and a - b = 2 then value of a² + b² is _____?
If a + b = 2 and a - b = 2 then value of a² + b² is _____?
Explanation
a + b = 2 ... (1)
a - b = 2 ... (2)
Adding (1) and (2):
2a = 4
a = 2
Put a = 2 in (1):
2 + b = 2
b = 0
Now, a² + b² = (2)² + (0)² = 4 + 0 = 4.