Answer :

Here, on comparing with general equation **ax ^{2} + bx + c = 0**, we get

a = √2

b = 7

c = 5√2

Now, **Discriminant = D = (b ^{2} – 4ac)**

∴ D = [49 – (4 × √2 × 5√2)]

= [49 - 20]

= 9

Therefore, the roots of the equation are given by:

**x = (-b √D)/2a**

∴ x = (-7 (√9))/2√2

= [(-7-3)/2√2] or [(-7 + 3)/2√2]

= -10/2√2 or -4/2√2

= -5/√2 or -√2 .

**Thus the roots of the equation are 5/√2 and √2.**

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