Question

(BEST ANSWER GETS MEDAL!) Find the value of a so that ax^2+24x+16=0 has exactly one rational solution

Answer 1

Ok so we know that when the discriminant of the quadratic formula equals 0 thenn there is only one solution
Using our above equations we have
a=a, b=24 and c=16

\[ \text{ Discriminant } = \sqrt{ b^2-4ac}=0\]

Now lets plug in our values for b and c and solve for a