Question

(ii) Show that the equation
2x + 4 = (x - 1)(x - 2) has only
one real root​

Answer 1

It doesn't, actually.

Expang the right hand side to get

`(x-1)(x-2)=x^2-3x+2`

So, the equation becomes

`2x+4=x^2-3x+2`

Move everything to one side to get

`x^2-5x-2=0`

This equation has solutions

`x_(1,2)=(5\pm√(33))/(2)`

Which are actually two different real roots.