Question

X^2+8x+19 in the for (x+c)^2+d where c and d are numbers

Answer 1

c = 4 , d = 3

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