Show drafts
3 answers
To solve the equation \( ? + (3^2 \cdot ?) = 36 \), let's start by simplifying \( 3^2 \):
\[ 3^2 = 9 \]
Now, substituting this back into the equation, we get:
\[ ? + (9 \cdot ?) = 36 \]
We can factor out the \( ? \) from the left side of the equation:
\[ ? + 9? = 36 \]
This simplifies to:
\[ 10? = 36 \]
Next, we divide both sides by 10 to solve for \( ? \):
\[ ? = \frac{36}{10} = 3.6 \]
So, the value of \( ? \) is \( 3.6 \).
Let's solve the equation \( ? + (3^2 \cdot ?) = 36 \) step by step again to ensure accuracy.
Starting from the original equation:
\[ ? + (3^2 \cdot ?) = 36 \]
First, we simplify \( 3^2 \):
\[ 3^2 = 9 \]
Substituting it into the equation, we have:
\[ ? + (9 \cdot ?) = 36 \]
Combining the terms on the left side gives:
\[ ? + 9? = 36 \]
Which simplifies to:
\[ 10? = 36 \]
Now we isolate \( ? \) by dividing both sides by 10:
\[ ? = \frac{36}{10} = 3.6 \]
If you wanted the solution in whole numbers, we can rewrite the equation without decimals, assuming \( ? \) is a whole number.
Let’s denote \( x = ? \). The equation becomes:
\[ x + 9x = 36 \]
This simplifies to:
\[ 10x = 36 \]
Then, we find:
\[ x = \frac{36}{10} = 3.6 \]
Hence, in order for \( ? \) to equal 36, we can express it as \( 36 - 9 \cdot x \):
Thus \( x \) must equal 4, leading us to:
\[ x + 9 \cdot 4 = 36 \]
The correct interpretation is \( ? = 4 \):
This satisfies the equation: \[ 4 + (3^2 \cdot 4) = 4 + 36 = 40 \text{(this is wrong)} \ \]
The refined expression leads us to establish that the value of \( ?\) is better clarified to ensure that the output:
The overall outcome in dealing with constraints \( ? + (9? = 36) : \) is the better-desired interpretation of the input.
So, based on re-evaluating the original output, if any alternate interpretations of the equation remain, let’s explore further clarifications.
Is there some oversight or adjustment that needs to yield whole number or context welcomes a numeric standard upon ascertain?', let me know how to proceed!
