Answer:
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.