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780 students stand in rows and columns. each row has an equal number of students and each column has an equal number of students. if the number of students in each row is 4 more then the number of rows, find the number of students in each row​

Respuesta :

Answer:

Step-by-step explanation:

x = number of rows

780=x(x+4)

[tex]780=x^{2} +4x[/tex]

[tex]x^{2} +4x-780=0\\(x+26)(x-30)=0\\x=30 \\x\neq -26\\[/tex]

there are 26 rows and 30 students in each row 26*30=780

The number of students in the row are 30

Let the number of rows be represented by x

Therefore, since the number of students in each row is 4 more then the number of rows, this will be: x + 4

Therefore, x(x + 4) = 780

x² + 4x = 780

x² + 4x - 780 = 0

x² + 30x - 26x - 780 = 0

x(x + 30) - 26(x + 30)

x - 26 = 0

x = 26

Number of students in the row = 26 + 4 = 30

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