When I had to form an equation, I got x^2-2x+11/9. Do I have to get rid of the fraction and make it to be 9x^2-18x+11=0?
no; fractions are perfectly acceptable. Most folks like to get rid of them, though, so the second form makes them more comfortable.
You could just as well have used any of
x^2/7 - 2x/7 + 11/63 = 0
5x^2 - 10x + 55/9 = 0
90x^2 - 180x + 110 = 0
Ohhh ok, thks!
To determine if you need to get rid of the fraction and transform the equation to 9x^2 - 18x + 11 = 0, let's review how to convert a fraction in an equation, if necessary.
In this case, your equation is x^2 - 2x + 11/9. To determine if it needs to be converted, consider these steps:
1. Multiply both sides of the equation by the denominator of the fraction (in this case, 9). This allows you to eliminate the fraction.
- Multiply the left side by 9: 9 * (x^2 - 2x + 11/9) = 9 * 0
- Multiply the right side by 9: 0 = 0
2. Simplify the equation by distributing and canceling out terms appropriately.
- Distribute 9 to each term on the left side: 9 * x^2 - 9 * 2x + 9 * (11/9) = 0
- Simplify: 9x^2 - 18x + 11 = 0
Therefore, in this case, you are correct in converting x^2 - 2x + 11/9 to 9x^2 - 18x + 11 = 0 to get rid of the fraction.