Find the value of k for which one root of the quadratic equation k^2-14x+8=0is six timea rhe other
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k²-14x+8
one root +2nd root =-b/a
let one root be x
another be 6x
x+6x=-(-14)/k
7x=14/k
k=2/x
x×6x=c/a
6x²=8/k
x²=4/3k
(2/k)²=4/3k
4/k²=4/3k
k/k²=4/3×4
1/k=1/3
k=3
one root +2nd root =-b/a
let one root be x
another be 6x
x+6x=-(-14)/k
7x=14/k
k=2/x
x×6x=c/a
6x²=8/k
x²=4/3k
(2/k)²=4/3k
4/k²=4/3k
k/k²=4/3×4
1/k=1/3
k=3
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