Question

What are the two roots of the quadratic equation? y=x squared-3x-4

Answer 1

x ∈ R, 4,-1

Explanation:

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

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

`y=(x^2+x)+(-4x-4)`

`y=x(x+1)+(-4)(x+1)` Distributive property

`y=(x+(-4))(x+1)` Distributive Property

`y=(x-4)(x+1)`

set y to 0

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

set the factors to 0

`0=x-4; 0=x+1`

`4=x; -1=x`