Question

find the roots of the quadratic equation x^2-6x+k=0.giventhat one root is three times the other and that k is a constant.Also find the value of k​

Answer 1

`x_(1) = 3x_(2) \\ x_(1) - 3x_(2) = 0 ←relation \: 1\\ x_(1) + x_(2) = 6 ←relation \: 2`

`(x_(1),x_(2)) : (4.5,1.5)`

`k = x_(1)x_(2) = 4.5 * 1.5 = 6.75`