Question

describe the solutions to the quadratic equation
x^2+6x+9=0

Answer 1

HINT \(\normalsize\color{blue}{ \rm x^2+6x+9=(x+3)^2 }\)

Answer 2

Do you know how to find solutions of quadratic equations?
By using the Quadratic formula/ Factorization? :)

Answer 3

The wording of this problem is unusual: "DESCRIBE the solutions ... "

Certainly, solving for x would be one way of gathering info on how to answer that.

It's occurred to me that finding the discriminant of this quadratic would be another way to gather info to use in describing the solutions.

Familiar with "discriminant?"

It's the quantity b^2-4ac, a part of the quadratic formula.

If the "discriminant" is +, you'll have 2 real, unequal solutions.
If the "d " is -, you'll have 2 complex, unequal, sol'ns.
If the "d " is 0, you'll have two real, equal sol'ns.