Question

Use the discriminant to determine the number and type of solutions for the given equation.... 36x2 + 12x = 0

A) Two imaginary solutions
B) Two irrational solutions
C) Two rational solutions
D) One (repeated) rational solution

Answer 1

\[ax^2+bx+c=0\]
\[36x^2+12x=0\]
\[D=b^2-4ac=12^2-4\cdot36\cdot0=144>0\]
means two rational solutions, because it's higher than 0 and it's perfect square