Final answer:
To find the number of trees in each row, we set up an equation using the given information and solve it. The number of trees in each row is 29.
Step-by-step explanation:
To find out the number of trees in each row, we can set up an equation using the given information. Let's denote the number of trees in each row as x. The number of rows exceeds the number of trees per row by 5, so we can express the number of rows as (x + 5).
The total number of orange trees in the orchard is 986, so we can set up the equation: x(x + 5) = 986. Let's solve the equation to find the value of x.
Expanding the equation, we get x² + 5x = 986. Rearranging the equation, we have x² + 5x - 986 = 0. We can solve this quadratic equation by factoring or using the quadratic formula.
Solving it will give us two possible values for x, but since the number of orange trees cannot be negative, we will only consider the positive value.
After solving the equation, we find that x = 29.
Therefore, there are 29 orange trees in each row of the orchard.