X^2-100x+99=0 use factorization to solve for the unknown
To factorize this expression, we need to find two numbers whose product is 99 and whose sum is -100.
One possible pair of numbers is -1 and -99, as (-1) x (-99) = 99 and (-1) + (-99) = -100.
Therefore, we can rewrite the expression as:
x^2 - x - 99x + 99 = 0
Now we can group the first two terms and the last two terms, then factor out common factors:
x(x-1) - 99(x-1) = 0
(x-1)(x-99) = 0
So, the solutions are x=1 and x=99.