The roots of this equation will be x = 6 or x = 8.
You can solve this equation by factorising:
x² - 14x + 48 = 0
Factors of 48:
1 and 48
2 and 24
3 and 16
4 and 12
6 and 8
Because the x-coefficient is negative but the value at the end is positive, we know that both numbers in the brackets must be negative (i.e. (x - a)(x - b) ), so we need to find 2 numbers from the list of factors that when negative and added together give -14. In this case it is -6 and -8.
Therefore your final factorisation is (x - 6)(x - 8) = 0, which gives the solutions x = 6 or x = 8.
I hope this helps! Let me know if you have any questions :)
