Question

(ii) x^2 – 2 √3 x – 1 = 0. Solving the quadratic equation
find the value of x. ​

Answer 1

This is a simple problem where you can use the “complete the square method”.

By adding 4 to both sides you end up with:

x² + (2√3) x + 3 = 4

The left can be then factored into:

(x + √3)²

which leaves you with:

(x + √3)² = 4

Then simplifiy by square rooting both sides (don’t forget the +/- in front of the square root of 4):

x + √3 = +/- 2

x = +/- 2 - √3

Your two solutions are:

x = 2 - √3

x = -2 - √3

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