Consider the quadratic equation x² + 2x − 2 = 0 to obtain the root in floating point with 4 digits in mantissa. Substitute the roots in the equations, comment on satisfiability in both the cases of x₁ and x₂.
Computation (Parentheses first)
x1
x2
Case-1
(x² + 2x) − 2
Case-2
(2x − 2) + x²