8.If one root of the equation Px
2
-14x +8 =0 is six times the other, then the value of P will be
(a) P=3 (b) P=5 c) P=7 (d) none of these
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Step-by-step explanation:
Let the roots be a and 6a
px²-14x+8=0
1)a+6a=14/p 2)a(6a)=8/p
Solve 1)
7a=14/p
a=2/p
Substitute a in 2)
6a²=8/p
3a²=4/p
3(2/p)²=4/p
3(4/p²)=4/p
p=3
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