Final answer:
To find the number of trees in the orchard, set up an equation using the given information. Solve the equation to find the number of trees per row. Multiply the number of trees per row by the number of rows to find the total number of trees.
Step-by-step explanation:
To find the number of trees in the orchard, we need to set up an equation using the given information. Let's assume there are x trees per row. The number of rows would then be x + 5. We know that the total number of trees is 986, so we can write the equation as x(x + 5) = 986.
Simplifying the equation, we get x^2 + 5x - 986 = 0. We can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the value of x.
Depending on the method used, we find that x is either -41 or 24. Since the number of trees cannot be negative, we can conclude that there are 24 trees per row.
To find the total number of trees, we multiply the number of trees per row by the number of rows: 24 * (24 + 5) = 24 * 29 = 696. Therefore, there are 696 trees in the orchard.