For the equation 24x^2 + 68x + 28 = 0
a) Find the discriminant
b) If the discriminant tells you that you can factor, do so.
c) Solve the equation by completing the square(HINT: at some point during the process, you will come to a point which looks like (x+(17/12))^2 = (121/144)
d) solve the equation by using the quadratic formula.
a) The discriminant of a polynomial like ax^2+bx+c=0 is:
Therefore here we have:
b) Because the discriminant is positive, we can factor the polynomial over the real domain. To do so we can say:
Of course that is not ...
A discriminant is found and quadratic equations are solved. The equation is solved by completing the square.