find the value of p , which one root of the quadratic equation px^2-14x+8=0 is 6 times the other
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let one root be α and other root be 6α
sum of the Two roots =-b / a
=>α+6α=14/8
=>7α=7/4
=>α=1/4
product of two roots =c/a
=>α.6α=8/p
=>6α^2=8/p......¡
putting α=1/4 in ¡
6×1/16=8/p
=>6/16=8/p
=>6p=128
=>p=21.34
sum of the Two roots =-b / a
=>α+6α=14/8
=>7α=7/4
=>α=1/4
product of two roots =c/a
=>α.6α=8/p
=>6α^2=8/p......¡
putting α=1/4 in ¡
6×1/16=8/p
=>6/16=8/p
=>6p=128
=>p=21.34
Anonymous:
which class?
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