Question

X^2 (1+√2)x + √2 =0 x€q

Answer 1

Step-by-step explanation:

⇒ The give quadratic equation is 2x

2

+3ix+2=0, comparing it with ax

2

+bx+c=0

⇒ We get, a=2,b=3i,c=2

⇒ x=

2a

−b±

b

2

−4ac

=

2(2)

−3i±

(3i)

2

−4(2)(2)

=

4

−3i±

9i

2

−16

=

4

−3i±

−9−16

[ Since, i

2

=−1 ]

=

4

−3i±

−25

=

4

−3i±5i

⇒ x=

4

−3i+5i

and x=

4

−3i−5i

∴ x=

2

i

and x=−2i