Question

. If a + b= 2 and ab =2, find the value of a^2- b^2.

Answer 1

Step-by-step explanation:

equation 1:-

a + b = 2

Equation 2:-

a*b = 2

a + b = 2

a = 2 - b

Substitute the value of a in Equation 2

= (2 - b) b = 2

= 2b - b^2 =2

= b^2 - 2b - 2

Apply Quadratic formula

ax^2 + bx + c = 0

d = - b +- root[(b)^2 - 4ac)] / 2a

d = - 2 +- root[(b) ^2 - 4*1*(-2))] / 2

b = 1 + root(3) or 1 - root(3)

a = 1 + root(3) or 1 - root(3)

Answer 2

Answer:

a²-b²=(a+b)²-2ab

=2²-2x2

=4-4

=0

Step-by-step explanation:

I hope it helps