Question 1151314: If r and a represent the solutions of the equation (3k + 14) * k = 5 and r > s, what is the value of the difference of r - s? Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52778) (Show Source):
Do you know the quadratic formula ?
It has the form r,s = ,
where b is the coefficient at "k" and "a" is the coefficient at "k^2" in the standard form equation.
When you subtract r-s, you will get this "something", divided by "a".
Now, the standard form of the equation is
3k^2 + 14k - 5 = 0.
The "something" is the square root of the discriminant = = = 16.
The "a" is 3.
Therefore, the answer is .
ANSWER. The difference r - s = .
