Question

ii) Find the value
of a square + b square if a+b=12 and
ab = 14

Answer 1

(a+b)²=a²+b²+2ab

12²=a²+b²+2(14)

144-38=a²+b²

106 =a²+b²

Answer 2

Step-by-step explanation:

squaring on both sides,

(a+b)² =(12)²

a²+2ab+b² = 144

a²+(2×14)+b²=144

a²+28+b²=144

a²+b² =144 -28

=116