Question
So I'm falling quite a lot of equation x squared - 14x + 49 = 0
Answers
GPT-4o mini
The equation you've provided is a quadratic equation in the standard form:
\[ x^2 - 14x + 49 = 0 \]
To solve this, we can factor the quadratic. Notice that:
\[ x^2 - 14x + 49 = (x - 7)^2 \]
So, the equation can be rewritten as:
\[ (x - 7)^2 = 0 \]
Now, we set the factor equal to zero:
\[ x - 7 = 0 \]
Solving for \(x\) gives:
\[ x = 7 \]
Thus, the solution to the equation \( x^2 - 14x + 49 = 0 \) is:
\[ x = 7 \]
This means that the quadratic has a double root at \(x = 7\).
\[ x^2 - 14x + 49 = 0 \]
To solve this, we can factor the quadratic. Notice that:
\[ x^2 - 14x + 49 = (x - 7)^2 \]
So, the equation can be rewritten as:
\[ (x - 7)^2 = 0 \]
Now, we set the factor equal to zero:
\[ x - 7 = 0 \]
Solving for \(x\) gives:
\[ x = 7 \]
Thus, the solution to the equation \( x^2 - 14x + 49 = 0 \) is:
\[ x = 7 \]
This means that the quadratic has a double root at \(x = 7\).