Question

In our village proloy babu bought 350 chili plants for planting in his rectangular land. When he put the plants in a row he noticed thet if he would put 24 rows more than the number of plants in each row 10 plants would remain excess. Let us write by calculating the number of plants he put in each row.

Answer 1

Step-by-step explanation:

Let x be the total number of plants in each row.

The rows are 24 more than the total number of plants in each row.

The total number of rows is therefore given by:

= x + 24

10 plants remain in excess. So, the plants distributed are = 150 - 10 = 140

The plants distributed = x(x + 24) = x² + 24x

We equate the two to get:

x² + 24x = 140

x² + 24x - 140 = 0

This is a quadratic equation. We solve it below.

x² + 24x - 140 = 0

The roots of the quadratic equation are:

28 and 5

x² + 28x - 5x - 140 = 0

x(x + 28) - 5( x + 28) = 0

(x + 28)(x -5) = 0

x = -28 and 5

The number of plants in each row has to be a positive value.

So, we take 5

The number of plants in each row is 5.

Answer 2

Answer:

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