Answer:
c = 4 , d = 3
Step-by-step explanation:
Expand (x + c)² + d and compare like terms with x² + 8x + 19
(x + c)² + d
= x² + 2cx + c² + d
compare to x² + 8x + 19
2c = 8 ( divide both sides by 2 )
c = 4
and
c² + d = 19 , that is
4² + d = 19
16 + d = 19 (subtract 16 from both sides )
d = 3
