How do you find the zeros, real and imaginary, of y=- 5x^2-2x+10 using the quadratic formula?

1 Answer
Jul 21, 2016

x = (-1 +- sqrt51)/5

Explanation:

y = - 5x^2 - 2x + 10 = 0
Use the new improved quadratic formula (Socratic Search)
D = d^2 = b^2 - 4ac = 4 + 200 = 204 = 4(51) --> d = +- 2sqrt51
There are 2 real roots:
x = -b/(2a) +- d/(2a) = 2/-10 +- (2sqrt51)/-10 = -1/5 +- sqrt51/5 =
x = (-1 +- sqrt51)/5