You have a deck of t trading cards. You give 20 cards to a friend and have 2 left for yourself. How many cards were in the original deck? Write a simpler, equivalent equation to solve and find the number of cards in the deck.

t = 22

Step-by-step explanation:

t = trading cards

t - 20 = 2

t - 20 = 2

 +20   +20

t = 22

cheater

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0