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

It doesn't, actually.

Expang the right hand side to get

So, the equation becomes

Move everything to one side to get

This equation has solutions

Which are actually two different real roots.

2.83941151 would be the answer you're looking for! : )

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.