Rational roots of the equation 2x4+x3−11x2+x+2=0 are

Given equation can be reduced to a quadratic equation .∴ 2x2+x−11+1x+2x2=0⇒ 2x2+1x2+x+1x−11=0 Put x+1x=y⇒ 2y2−2+y−11=0⇒ 2y2+y−15=0⇒  x+1x=−3,x+1x=52⇒ x2+3x+1=0,2x2−5x+2=0Only 2nd equation has rational roots as D =9 and roots are.12 and 2.