Determine the type of number that the solutions of x^2 +5x+3=0 will be

Question

I have the answer as rational

is that right?

Answer 1

if your quadratic has rational roots then it would factor, it does not
Also the discriminant would have to be a perfect square for rational roots. It is not.

b^2 - 4ac = 25-4(1)(3) = 13

so you would have two different irrational roots

Answer 2

b^2-4ac= 25-12=13

and exactly what is sqrt 13? I took it to 13 digits, and didn't see numbers repeating. Why did you say rational?

Answer 3

2. A pool company will install a round swimming pool in the middle of a yard that measures 40 ft. by 20 ft. If the pool is 12 ft. in diameter, how much of the yard will still be available?: *

Answer 4

2x^3 -17x^2+47-42
no posible