We have, √2x2+x+√2 = 0
Comparing the given equation with the general form ax2 + bx + c = 0,
we get a = √2 , b = 1 , c = √2
∴ x =

−b±√b2−4ac

2a

=

−1≠√(1)2−4×√2×√2

2√2

=

−1≠√1−8

2√2

= −1±

√−7

2√2

=

−1±i√7

2√2

∴ The roots of the given equation are

−1+i√7

2√2

and

−1−i√7

2√2