Given:
a + b = 5 and a²-b² = 75
Solution:
a + b = 5 ........equation(1)
a²-b² = 75
(a-b)(a-b)=75
5(a-b) = 75
a-b = 15 .......... equation(2)
Add equation (1) and (2)
a + b + a - b = 5 + 15
a = 10
From equation (1)
a + b = 5
10 + b = 5
b = -5
then the value of ab = (-5)(10) = - 50
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