Q. 274.8( 5 Votes )

Find the roots of

Answer :

Here, on comparing with general equation ax2 + bx + c = 0, we get

a = 1

b = - 3√5

c = 10

Now, Discriminant = D = (b2 – 4ac)

D = [45 – (4 × 1 × 10)]

= [45 - 40]

= 5

Therefore roots of the equation are given by:

x = (-b ± √D)/2a

x = (3√5 ± (√5))/2

= [(4√5)/2] or [2√5/2]

= 2√5 or √5.

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

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