1. Tardigrade
  2. Question
  3. Mathematics
  4. The quadratic equation x2-1088 x+295680=0 has two positive integral roots whose greatest common divisor is 16 . The least common multiple of the two roots is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The quadratic equation $x^2-1088 x+295680=0$ has two positive integral roots whose greatest common divisor is 16 . The least common multiple of the two roots is

Complex Numbers and Quadratic Equations

Solution:

image
If $a$ and $b$ are two integers
$( H \cdot L )= ab $
$\alpha \beta=( HCF )( LCM ) $
$295680=16( LCM ) $
$LCM =\frac{295680}{16}=18480$