Diego and Jada are working together to solve the quadratic equation (x - 2)² = 100.
Diego solves the equation by dividing each side of the equation (x - 2) = 50
by 2 and then adding 2 to each side. He writes:
x = 52
Jada asks Diego why he divides each side by 2 and he says, "I want to find a number
that equals 100 when multiplied by itself. That number is half of 100."
a. What mistake is Diego making?
b. If you were Jada, what could you say to Diego to help him realize his mistake?