Question

find the value of a^2 + b^2: when a+b = -8 and a-b = -6

Answer 1

solve the two equations to find value of a and b

2a= -14
a=-7
b=-1

required value (-7)^2+(-1)^2
49+1
50 is the answer

Answer 2

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Given:- (a+b)=-8

(a-b)=-6

Solve Equation (1) and (2)

a+b+a-b=-8+(-6)

2a=-14

a=-14/2

a=7

or

b=-1

Again

a²+b²

(-7)²+(-1)²

49+1

=50