Can Someone Explain this to me {algebra}?

Question

Recall that a trinomial that factors as a binomial square is a perfect square. Explain how to determine whether a trinomial with a leading co-efficient where a is not equal to 1 can be a perfect square.

Answer 1

If you have ax² + bx + c

then according to the quadratic formula

x = (- b ± sqrt(b² - 4ac)) / 2a

The two roots are equal if

b² - 4ac = 0

That means b² = 4ac

In addition, both a and c must be squares.

.