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Solve the following quadratic equation using the perfect square trinomial pattern: x^2+10x+25=0 𝑥Question
Solve the following quadratic equation using the perfect square trinomial pattern: x^2+10x+25=0 .(1 point)
x=
x=
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GPT-4o mini
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:
\[
x = -5
\]
\[
(x + 5)^2 = 0
\]
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:
\[
x = -5
\]
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