Question

The equation px^2-15x+9=0 has two distinct roots, alpha and β

Also, alpha =4β,

Find the value of p.​

Answer 1

Answer:

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Answer 2

Answer:

Thus p=4

Step-by-step explanation:

px²-15x+9=0

so α+β =15/p

Now α=4β

4β+β =15/p

5β=15/p,

β =3/p..................(1)

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α*β =9/p

4β*β=9/p

4β²=9/p...................(2)

Dividing (2) by (1)

4β²/β=(9/p)(3/p)=3

4β=3, β=3/4

From(1)

p=3/β=3/(3/4=3*4/3=4

Thus p=4