To solve the quadratic equation x² + 10x + 25 using the perfect square trinomial pattern, we need to recognize that it can be factored as (x + 5)(x + 5), which represents a perfect square trinomial.
Setting the equation equal to zero, we have (x + 5)(x + 5) = 0.
Using the zero product property, we can conclude that either x + 5 = 0 or x + 5 = 0.
Solving for x in each equation, we find:
x + 5 = 0, so x = -5.
Therefore, the solution to the quadratic equation x² + 10x + 25 = 0 is x = -5.
Solve the following quadratic equation using the perfect square trinomial pattern: x² + 10x + 25.
1 answer
1 answer