Question

Create a function graph to answer the question what are the solutions to the equation x squared minus 5X = -4 enter the smaller value first x equals blank x equals blank

Answer 1

To solve the equation \( x^2 - 5x = -4 \), we first rearrange it into standard form:

\[
x^2 - 5x + 4 = 0
\]

Now, we can factor the quadratic equation:

\[
(x - 1)(x - 4) = 0
\]

Setting each factor equal to zero gives us the solutions:

\[
x - 1 = 0 \quad \Rightarrow \quad x = 1
\]

\[
x - 4 = 0 \quad \Rightarrow \quad x = 4
\]

So the solutions to the equation are \( x = 1 \) and \( x = 4 \).

Putting the smaller value first, we have:

\[
x = 1, \quad x = 4
\]

Thus, the solutions are:

- \( x = 1 \)
- \( x = 4 \)

If you're interested in graphing the function to visualize these solutions, you'd graph \( y = x^2 - 5x + 4 \) and observe where it intersects the x-axis (i.e., where \( y = 0 \)). The points of intersection will correspond to the solutions we found: \( (1, 0) \) and \( (4, 0) \).