Let p,q, and r be constants. One solution to the

spiderifilms6e

spiderifilms6e

Answered question

2022-02-01

Let p,q, and r be constants. One solution to the equation
(xp)(xq)=(rp)(rq)
is x=r. Find the other soultion in terms of p,q, and r.

Answer & Explanation

Aiden Cooper

Aiden Cooper

Beginner2022-02-02Added 14 answers

Step 1
You can use Vietas
terorimaox

terorimaox

Beginner2022-02-03Added 16 answers

Step 1
Alternative approach:
Let f(x)=x2+x(pq)+(r2+rp+rq).
You are given that the quadratic equation f(x)=0, has the root x=r
Therefore, you can use polynomial long division, dividing f(x) by (xr) to obtain the other factor, which is
(x+rpq)
Therefore, the other root to the quadratic equation f(x)=0 must be x=(p+qr)

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