Question 1081768
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Let p and q are the roots.

Then, according to Vieta's theorem,

p + q = {{{24/2}}} = 12.

The second condition is 

p - q = 18.


So, you have this system of equations

p + q = 12,
p - q = 18.

Add the equations. You will get

2p = 12 + 18 = 30.

Hence, p = 15.

Then q = 12 - p = 12 - 15 = -3.


Thus the roots are 15 and -3.

Then, according to Vieta's theorem, {{{c/2}}} = 15*(-3) = -45.

Then c = 2*(-45) = -90.


<U>Answer</U>.  c = -90, and the roots are 15 and -3.
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