Question

find the roots of the equation 4x²-11x+6=0​

Answer 1

4x²-11x+6=0

By splitting the middle term,

(-6)×(-4x²)=24x²

So, -8x+(-3x)=-11x

==> 4x²-8x-3x+6=0

4x(x-2) -3(x-2)

==> (4x-3) (x-2)

Therefore the roots of the equation 4x²-11x+6=0 are 3/4 and 2.