Factorise the following by splitting the middle term and find the roots.2x2+x–6=0
x=2 or x=−32
x=−2 or x=32
x=−2 or x=−32
x=2 or x=32
Given, 2x2+x−6=0 2x2+x−6=2x2+4x−3x−6=2x (x+2)−3 (x+2)=(x+2) (2x−3) 2x2+x−6=0 ⇒(x+2) (2x−3)=0 ∴x+2=0 or 2x−3=0⇒x=−2 or x=32