Si al triple del cuadrado de un número se le suma siete veces el mismo número se obtiene por resultado 10. ¿Cuál es ese número?

The value of the number is either 1 or -10/3

Step-by-step explanation:

If the same number is added to triple the square of a number seven times, the result is 10. What is that number?

Let the number = x

Therefore, we have;

3·x² + 7·x = 10

Therefore, we have;

3·x² + 7·x - 10 = 0

Dividing by 3 gives;

x² + 7/3·x - 10/3 = 0

Factorizing gives;

(x - 1)·(x + 10/3) = 0

x = 1 or -10/3

The number is either 1 or -10/3.