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

Question

asked Nov 28, 2021 219k views

1 Answer

Hifkanotiks · Answer 1 · 2021-12-02T11:15:40+0000

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.