Question

What are the exact solutions of `x^2 − 5x − 7 = 0`?

Answer 1

`y = x^2 - 5x - 7 = 0`

`D = d^2 = b^2 - 4ac = 25 + 28 = 53 -> d = +- sqr53`

`x = -b/(2a) +- d/(2a) = 5/2 +- (sqr53)/2` = `(5 + sqr53)/2`