Question
How many real solutions does 4x + x + 3 = 0 1/2
Answers
GPT-4o mini
To solve the equation \( 4x + x + 3 = 0.5 \), we first simplify it.
Combine like terms on the left side:
\[
5x + 3 = 0.5
\]
Next, subtract 3 from both sides:
\[
5x = 0.5 - 3
\]
Calculating the right side gives:
\[
5x = 0.5 - 3 = 0.5 - 3.0 = -2.5
\]
Now, divide by 5 to solve for \( x \):
\[
x = \frac{-2.5}{5} = -0.5
\]
Since we found a specific value for \( x \), there is exactly **one real solution** for the equation \( 4x + x + 3 = 0.5 \).
Thus, the number of real solutions is:
\[
\boxed{1}
\]
Combine like terms on the left side:
\[
5x + 3 = 0.5
\]
Next, subtract 3 from both sides:
\[
5x = 0.5 - 3
\]
Calculating the right side gives:
\[
5x = 0.5 - 3 = 0.5 - 3.0 = -2.5
\]
Now, divide by 5 to solve for \( x \):
\[
x = \frac{-2.5}{5} = -0.5
\]
Since we found a specific value for \( x \), there is exactly **one real solution** for the equation \( 4x + x + 3 = 0.5 \).
Thus, the number of real solutions is:
\[
\boxed{1}
\]