If 142n= 47ten

n^2+4n+2 = 47

n = 5

To solve this equation, we need to find the value of n.

First, let's break down the equation. We have 142n on the left side and 47ten on the right side.

In mathematics, the subscript "ten" is often used to indicate that a number is written in base 10, also known as the decimal system.

So, we can rewrite the equation as 142n = 47 (since "ten" is implied).

To isolate n, we want to get rid of the coefficient 142. We can do this by dividing both sides of the equation by 142.

So, the equation becomes n = 47 / 142.

To calculate the value of n, we divide 47 by 142 using a calculator or long division.

Using a calculator, the result is approximately 0.3316. Therefore, n is approximately equal to 0.3316.

To solve for the value of "n" in the equation 142n= 47ten, you can follow these steps:

Step 1: Divide both sides of the equation by 142.
142n / 142 = 47ten / 142

Step 2: Simplify the equation.
n = (47ten / 142)

Step 3: Convert 47 to base ten.
In the expression 47ten, "ten" represents the decimal system (base 10), which means that there is no need for conversion. Therefore,
n = (47 / 142)

After performing the division, you will get the value of "n" in decimal form.