Find the roots of the following quadratic equation: x2 – 3√5x + 10 = 0

Question

Philoid · Accepted 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.

Find the roots of the following quadratic equation: x² – 3√5x + 10 = 0