Question

Without solving, determine the character of the solutions of the equation in the complex number system.x 2 + 12x + 36 = 0Atwo complex solutions that are conjugates of each otherBa repeated real solutionCtwo unequal real solutions

Answer 1

we have the equation

x 2 + 12x + 36 = 0

Find out the discriminant

D=b^2-4ac

we have

a=1

b=12

c=36

substitute

D=12^2-4(1)(36)

D=144-144

D=0

that means

a repeated real solution

answer is option B