Please help me with quadratic equation

Question

a) Write a quadratic equation that can be solved by factoring and does not require the use of the quadratic formula.

b) Write a quadratic equation that cannot be solved by factoring and then solve it using the quadratic formula.

Answer 1

x^2 + 4x + 4 = 0

(x+2)^2 = 0

x +2 = 0

x = -2

x^2 +4x + 5 = 0

x= -4/2 + or - (1/2)sqr(16-20) = -2 + or - (1/2)sqr(-4)

= -2 + or - i (2 imaginary solutions)

x = i-2 or -i-2

Answer 2