If a - b = 3 and a^2 + b^2 = 2 the ab = ?
If a - b = 3 and a^2 + b^2 = 2 the ab = ?
Explanation
a - b = 3
a2 + b2 = 2
the formula used: (a-b)2 = a2 +b2 -2ab
Calculation:
a - b = 3
squaring both sides
a2 + b2 - 2ab = 9
2 - 2ab = 9
2 - 9 - 2ab = 0
-7/2 = ab