Question

What are the zeros of the trinomial `4x^2-17x+4`?

Answer 1

`x=1/4,x=4`

Explanation:

`"factorise the trinomial and equate to zero"`

`"the factors of + 16 which sum to - 17 are - 16 and - 1"`

`rArr4x^2-16x-x+4`

`=color(red)(4x)(x-4)color(red)(-1)(x-4)larrcolor(blue)"factor by grouping"`

`=(x-4)(color(red)(4x-1))`

`rArr(x-4)(4x-1)=0`

`"equate each factor to zero and solve for x"`

`x-4=0rArrx=4`

`4x-1=0rArrx=1/4`