+143 Let \(a\) and \(b \) be constants. Suppose that the equation
\(\frac{(x+a)(x+b)(x+12)}{(x+3)^2} = 0\)
has exactly \(3 \) distinct roots, while the equation
\(\frac{(x+2a)(x+3)(x+6)}{(x+b)(x+12)} = 0\)
has exactly \(1 \) distinct root. Compute \(100a+b\).
+143 Can I get a detailed explanation... I have trouble these types of problems. I found 1 root for the 1st equation but none for the second.
