Question

If Y=(1-2x)(1+x)-2,find the value of x for which y=-2

Answer 1

Answer:

y=(1-2x)(1+x)-2

=>-2=1+x-2x-2x²

=>-2=-2x²-x+1

=>-2+2x²+x-1=0

=>2x²+x-3=0

=>2x²+3x-2x-3=0

=>x(2x+3)-(2x+3)=0

=>(2x+3)(x-1)=0

therefore, 2x+3=0 or x-1=0

ie.x=-3/2 or 1.