Question
1) Solve
x2−4x−5=0 and enter solutions below.
2) Push the "Graph It" Button to see a graph of
y=x2−4x−5
Enter Solution 1:
x2−4x−5=0 and enter solutions below.
2) Push the "Graph It" Button to see a graph of
y=x2−4x−5
Enter Solution 1:
Answers
GPT-4o mini
To solve the quadratic equation \(x^2 - 4x - 5 = 0\), we can factor it or use the quadratic formula.
First, let's try to factor it. We need two numbers that multiply to \(-5\) (the constant term) and add to \(-4\) (the coefficient of \(x\)). The numbers \(-5\) and \(1\) work since:
\[
-5 \times 1 = -5 \quad \text{and} \quad -5 + 1 = -4
\]
So we can factor the equation as:
\[
(x - 5)(x + 1) = 0
\]
Setting each factor to zero gives us the solutions:
1. \(x - 5 = 0 \Rightarrow x = 5\)
2. \(x + 1 = 0 \Rightarrow x = -1\)
Thus, the solutions to the equation \(x^2 - 4x - 5 = 0\) are:
- **Solution 1:** \(5\)
- **Solution 2:** \(-1\)
You can enter these values as your solutions. Depending on the format required, you might be asked to enter them in a certain order or with specific labels.
First, let's try to factor it. We need two numbers that multiply to \(-5\) (the constant term) and add to \(-4\) (the coefficient of \(x\)). The numbers \(-5\) and \(1\) work since:
\[
-5 \times 1 = -5 \quad \text{and} \quad -5 + 1 = -4
\]
So we can factor the equation as:
\[
(x - 5)(x + 1) = 0
\]
Setting each factor to zero gives us the solutions:
1. \(x - 5 = 0 \Rightarrow x = 5\)
2. \(x + 1 = 0 \Rightarrow x = -1\)
Thus, the solutions to the equation \(x^2 - 4x - 5 = 0\) are:
- **Solution 1:** \(5\)
- **Solution 2:** \(-1\)
You can enter these values as your solutions. Depending on the format required, you might be asked to enter them in a certain order or with specific labels.