Determine p if the following equation has equal roots: (p-3)xsquare + 4(p-3)x + 4 = 0

A quadratic equation has equal roots if and only if the determinant

equals zero.

In this case,

So, the determinant is

Expand the square and multiply terms to get

Which finally simplifies to

This expression equals zero if one of the factors equals zero:

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540