SOLUTION: Each of the following is the discriminant of a quadratic equation. Write whether the equation is factorable, not factorable,or no real solutions.

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Question 1155320: Each of the following is the discriminant of a quadratic equation. Write whether the equation is factorable, not factorable,or no real solutions. 1.____28 2.____225 3.____-36
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
For a quadratic to be factorable, the discriminant must be a perfect square.
All perfect squares are non-negative, so we look at the square roots.

1.____28  That is NOT because √28 = 5.291592622... not a real whole number.
Not factorable, has real solutions. 

2.____225 That IS because √225 = 15, which is a real whole number. Factorable, has real rational solutions.

3.____-36 That is NOT because √(-36) = 6i, an imaginary number, not a real whole number. Not factorable, no real solutions.

Answer: 2

Edwin