Irrational roots of the equation 2x4+9x3+8x2+9x+2=0 are

Divide the given equation by x2 to obtain2x2+1x2+9x+1x+8=0Put x+1x=t to get 2t2−2+9t+8=0⇒t=−12,−4∴x+1x,=−12−4⇒x2+1x=−12,x2+1x=−4⇒2x2+x+2=0, x2+4x+1=0The first equation has non-real complex roots and the second equation has irrational roots. viz – 2 ± 3.