Answer:
c = 9
d = 3
Step-by-step explanation:
To find the value of c to make the equation a perfect square,
divide the coefficient of [tex]x[/tex] by 2, then square it:
[tex]\implies c=\left(\dfrac{b}{2}\right)^2=\left(\dfrac{6}{2}\right)^2=3^2=9[/tex]
The value of d is half the coefficient of [tex]x[/tex]:
[tex]\implies d=\dfrac{b}{2}=\dfrac{6}{2}=3[/tex]
Therefore:
[tex]x^2+6x+9=(x+3)^2[/tex]
