Question

2p-q+r and-2p+4q-2r algebraic expression ​

Answer 1

Step-by-step explanation:

It is given that 2p, q, 2r are in G.P.

Also the roots of the quadratic equation

px2+qx+r=0

are of the form α2, 4α−4.

Find the value of 2p+4q+7r.

From the given data: Following conclusions can be drawn

q2=4pr ⟹q2−4pr=0

Therefore the given quadratic equation has equal roots. Which gives

α2−4α+4=0

i.e. α=2

So, we have

4p+2q+r=0

.