Solve for the variable Write your answers as integers or as proper or improper fractions in simplest form 100p^2-100p+25=0
To solve the equation 100p^2 - 100p + 25 = 0, we can first divide the entire equation by 100 to simplify it:
p^2 - p + 1/4 = 0
Now, we can factor the left side of the equation:
(p - 1/2)(p - 1/2) = 0
(p - 1/2)^2 = 0
To solve for p, we take the square root of both sides:
p - 1/2 = 0
p = 1/2
Therefore, the solution to the equation 100p^2 - 100p + 25 = 0 is p = 1/2.