Question: The roots of the equation x^2 + 6x + 9 = 0 are:
Options:
-3 and -3
3 and 3
0 and 9
1 and 8
Correct Answer: -3 and -3
Solution:
The equation can be factored as (x+3)(x+3)=0, giving the double root x=-3.
The roots of the equation x^2 + 6x + 9 = 0 are:
Practice Questions
Q1
The roots of the equation x^2 + 6x + 9 = 0 are:
-3 and -3
3 and 3
0 and 9
1 and 8
Questions & Step-by-Step Solutions
The roots of the equation x^2 + 6x + 9 = 0 are:
Factoring Quadratic Equations – The process of rewriting a quadratic equation in the form of a product of its linear factors.
Identifying Roots – Finding the values of x that satisfy the equation, which can be done through factoring, completing the square, or using the quadratic formula.
Double Roots – Understanding that a quadratic can have a double root when it can be expressed as a perfect square.
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