Question 274057
x^2 + 7x - 2 = 0


a = 1
b = 7
c = -2


(-b +/- sqrt(b^2-4ac))/2a becomes:


(-7 +/- sqrt(49-(-8)))/2 which becomes:


(-7 +/- sqrt(57)/2 which becomes:


(-7 +/- 7.549834435))/2 which becomes:


x = .274917218


or:


x = -7.274917218


graph of your equation looks like this:


{{{graph (600,600,-10,10,-20,10,x^2 + 7x - 2)}}}


Since the graph crosses the x-axis at approximately the values calculated, then it looks like we're good.