Question

if if one root of k(x-1)^2=5x-7 is double the other root show that k=2 or -25 ​

Answer 1

Answer:

,

$Let  \: α \:  be \: one \: root \: of \: the \: given \: equation \:  2 {x}^{2} − 5x + k =0 \: . \\ Then \: the \: other \: root \: of \: the \: equation \: will \: be  \: 2α. \: \\ Then \: from \: the \: relation \: between \: the \: roots \: and \: co-efficient \: we \: get \\ a + 2a = \frac{5}{2} \: or \: a = \frac{5}{6} .......(1) \: and \: 2 {a}^{2} = \frac{k}{2} or \: {a}^{2} = \frac{k}{4} .....(2) \\ Now \: putting \: the \: value \: of \: (1) \: in \: (2) \: we \: get, \\ \frac{25}{36} = \frac{k}{4} \\ or \: \\ k = \frac{25}{9} ....</p><p></p><p>$

Answer 2

Answer:

give me thanks to take thanks