Please Please Please help me with this answer
Krystyn planted 54 tomato plants in equal rows. The number of plants in each row was 3 more than the number of rows. How many rows of tomato plants did Krystyn make?

Respuesta :

Alright, lets gets tarted.

Suppose there are x rows of tomato plants Krystyn make.

Again suppose there are n plants in each row.

We could find total plants by multiplying number of plants in each row with number of rows.

Hence total number of plants will be = [tex] x * n [/tex]

But as per question, total number of plants are 54. It means

[tex] x * n = 54 [/tex]

Now, the number of plants in each row was 3 more than the number of rows means

[tex] n = x + 3 [/tex]

Putting this value of n in first equation we made

[tex] x * (x+3) = 54 [/tex]

[tex] x^{2} + 3x = 54 [/tex]

Subtracting 54 in both sides

[tex] x^{2} + 3x - 54 = 54 - 54 [/tex]

[tex] x^{2} + 3 x - 54 = 0 [/tex]

Factoring

[tex] (x-6)(x+9) = 0 [/tex]

Means x = 6 or x = -9

The number of rows can not be negaive.

Hence x = 6

It means number of rows of tomato plants will be 6. : Answer

Hope it will help :).

The answer that u need is 6