The roots of \(3x^2 - 4x + 15 = 0\) are the same as the roots of \(x^2 + bx + c = 0\) for some constants \(b\) and \(c.\) Find the ordered pair \((b,c).\)
Divide the given equation by 3
x^2 - (4/3)x + 5 = 0
This has the same roots
(b, c) = ( -4/3 , 5)
+311 
