X^2-101x+100=0 use factorization to solve for the unknown
To solve this equation using factorization, we need to find two numbers whose product is 100 and whose sum is -101. These numbers are -1 and -100. Therefore, we can write:
x^2 - 101x + 100 = (x - 1)(x - 100) = 0
Setting each factor to zero, we get two solutions:
x - 1 = 0 or x - 100 = 0
x = 1 or x = 100
Therefore, the solutions to the equation are x = 1 and x = 100.