Question

find the roots of quadratic equation 16 X square - 24 x minus 1 is equal to zero by using the quadratic

Answer 1

16x^2-24x-1=0
16x^2-24x=1
dividing by 8
2x^2-3x=1
now,
2x^2-3x-1=0
2x^2-2x-1x-1=0
2x(x-1)+1(x-1)=0
(2x+1) (x-1)=0
(2x+1)=0 or (x-1)=0
2x=-1 or x=1
x= -1/2 or x=1