What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a positive number that is not a perfect square?
a.
b.
c.
d.

Question

What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a positive number that is not a perfect square? 
a.
b.
c.
d.

jim_thompson5910 · Answer

If the radicand is not a perfect square, but it's positive, then you have 2 irrational solutions (that are different)

jim_thompson5910 · Answer

Ex:

x^2 + 6x - 10 has the two solutions

$$\Large x = \frac{-6+2\sqrt{19}}{2} \ \text{or} \ x = \frac{-6-2\sqrt{19}}{2}$$

since the radicand is 19 (which is a positive non-perfect square)

anonymous · Answer

a. No real solutions
b. Two identical rational solution
c. Two different rational solutions
d. Two irrational solutions

anonymous · Answer

So d then !? (:

jim_thompson5910 · Answer

you nailed it

jim_thompson5910 · Answer

side note: the radicand is known as the discriminant, so if the discriminant is a positive nonperfect square, then you'll also have 2 irrational solutions

anonymous · Answer

Okie Dokes, thanks !

jim_thompson5910 · Answer

yw