How do you find the zeros, if any, of y= -x^2 -5x+2using the quadratic formula?

1 Answer
Apr 7, 2017

Zeros are x ~~ -5.37 , x~~ 0.37

Explanation:

Quadratic equation is y=ax^2 +bx+c

y= -x^2 -5x +2 ; a = -1 , b= -5 , c=2 ; D= b^2-4*a*c = 25 +8 =33 (+)
Since D is positve, roots are real.

Roots are x= -b/(2a)+- sqrt(b^2-4ac)/(2a) or x = 5/-2 +- sqrt 33/-2 or x= -2.5 +- (-2.87) :. x= -2.5 -2.87 ~~ -5.37 or x~~ 0.37 [Ans]