tkd226 tkd226
  • 21-05-2020
  • Mathematics
contestada

The difference of the square of a number and 28 is equal to 3 times that number

Respuesta :

Hrishii
Hrishii Hrishii
  • 21-05-2020

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

[tex] {x}^{2} - 28 = 3x \\ {x}^{2} - 3x - 28 = 0 \\ {x}^{2} - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x = - 4 \\ [/tex]

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