Find the type of solutions for the quadratic equation .

The correct answer is: Two solutions

to know the type of solution of any quadratic equation we need to find its discriminant(D)
for a given equation :
ax²+bx+c=0
D(discriminant)=b²-4(a)(c)
In the given equation ..
a=1
b=12
c=-45
D=(12)²-4*(1)*(-45)
D=144+180=324
D is 324 ,D>0 this means the given equation have two real and distinct roots