You give up a full-time salary of $45,000 a year to go to school for 2 years. the total cost of going to school is $30,000. if you want to be able to recover your investment in 5 years or less, what is the minimum salary you would need to earn upon earning your degree?
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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.
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