How do you solve #\frac { x ( x + 1) } { 3} - \frac { x - 1} { 2} = x + x ^ { 2}#?
1 Answer
Re-organize the equation into a quadratic equal to 0, then solve using the quadratic formula. You will find that
Explanation:
First, we'll simplify the fractions. The common factor between 3 and 2 is 6, so we will multiply both sides to eliminate the denominators:
Expand and distribute all factors:
Move all terms to one side of the equation:
Now, we have a quadratic equation that we can apply The Quadratic Formula to:
The above is the simplest we can go with integers (97 is not a perfect square), but if we want to write it as a decimal we can do it as follows: