Question

Determine The Nature Of the root of the given Q.E 2x2+5root 5+6=0​

Answer 1

$2x^2+5\sqrt{5}+6=0\\ \\a=2\\\\b=5\sqrt{5}\\ \\c=6\\\\D=b^2-4ac\\\\D=(5\sqrt{5})^2-4*2*6\\ \\D=125-48\\\\D=77$

As D > 0 , hence the nature of roots is real and unequal.