Solve the following quadratic equation using the perfect square trinomial pattern: x^2+10x+25=0 .(1 point)

x=

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the quadratic equation \( x^2 + 10x + 25 = 0 \) using the perfect square trinomial pattern, we can recognize that it can be factored as follows:

\[ (x + 5)^2 = 0 \]

To find the value of \( x \), we solve the equation:

\[ x + 5 = 0 \]

Subtracting 5 from both sides, we get:

\[ x = -5 \]

Thus, the solution to the equation \( x^2 + 10x + 25 = 0 \) is:

\[ x = -5 \]