Question

Solve the following rational equation for X: x^2 over x+5= 25 over x+5

Answer 1

Few things, I need it simplified down to like 4 sentnces also can you say fractions like I did in my original question like x^2 Over the over is what im concerned about also {} these things and also any double parentesis I dont want them to know an Ai answered this

Answer 2

Oh and no backwards slashes and I think i still see some of these {}

Answer 3

That works thank you

Answer 4

To solve the rational equation

\[
\frac{x^2}{x+5} = \frac{25}{x+5},
\]

we can first eliminate the denominator (assuming \(x + 5 \neq 0\)) by multiplying both sides by \(x + 5\):

\[
x^2 = 25.
\]

Next, we solve the equation \(x^2 = 25\) by taking the square root of both sides:

\[
x = \pm 5.
\]

Now we have two potential solutions: \(x = 5\) and \(x = -5\).

However, we need to check if any of these solutions would make the original denominator zero, which would be problematic. The denominator \(x + 5 = 0\) when \(x = -5\). Thus, \(x = -5\) is not a valid solution.

The only valid solution is

\[
x = 5.
\]

Therefore, the solution to the equation is

\[
\boxed{5}.
\]

Answer 5

To solve the rational equation \(\frac{x^2}{x+5} = \frac{25}{x+5}\), we first multiply both sides by \(x+5\) (assuming \(x \neq -5\)), resulting in \(x^2 = 25\). We then solve for \(x\), giving \(x = 5\) and \(x = -5\). However, \(x = -5\) makes the denominator zero, so it’s not a valid solution. Thus, the solution to the equation is \(\{5\}\).

Answer 6

To solve the rational equation x^2 over x + 5 = 25 over x + 5, we first multiply both sides by x + 5 (assuming x is not equal to -5), resulting in x^2 = 25. We then solve for x, giving us x = 5 and x = -5. However, x = -5 makes the denominator zero, so it’s not a valid solution. Therefore, the solution to the equation is 5.

Answer 7

You're welcome! If you have any more questions or need further assistance, feel free to ask. Good luck!