Question

for the value of p for which are the roots of quadratic equation p x square - 14 x + 8 is 6 times the other

Answer 1

given, the roots of the quadratic equation is 6 times the other
now let as assume one of the root of the quadratic equation is x
other is 6x
we know that .....
sum of the roots is -b/a
x+6x=-(-14)/p
7x=14p
x=2p.............(1)
product of the roots is c/a
x*6x=8/p
6x²=8p
3x²=4p
from (1)
3[4p²]=4p
12p=4
p=1/3
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Answer 2

here u r answer
hope its help full to u