What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a perfect square?

Question

amistre64 · Answer

perfect squares are whole numbers

amistre64 · Answer

$$x=\frac{-b\pm p}{2a}$$

anonymous · Answer

No real solutions 

 Two identical rational solutions 

 Two different rational solutions 

 Two irrational solutions

amistre64 · Answer

two of the above

anonymous · Answer

what?

amistre64 · Answer

if p=0, two identical solutions seems a bit redundant; but might be accurate :)

amistre64 · Answer

do you know the difference between a rational and an irrational number?

anonymous · Answer

No, lol

amistre64 · Answer

a rational number is any number that can be written as a ration of integers .... a fraction

irrational numbers cannot be written as a fraction and their exact value can only be expressed as a symbol like:  sqrt(2) and sqrt(3)

amistre64 · Answer

we have 2 rational solutions; but the wording of the 2 options that it can be are vague

anonymous · Answer

Oh okay so it would be a rational solution?
,No real solutions 

 ,Two identical rational solutions 

 ,Two different rational solutions 

, Two irrational solutions

anonymous · Answer

Sorry, I typed that before I saw your comment

amistre64 · Answer

2 identical solutions is called:  a repeated root

2 different solutions is called: distinct roots

(x+1)(x+1)  is a quadratic with 2 identical roots
(x+2)(x+1)  is a quadratic with 2 distinct roots

amistre64 · Answer

ill assume they want the 3rd option tho :)

anonymous · Answer

Thank you :)