Find all the square roots of x^2 = 53 (mod 77) by hand. 2 marks

Step-by-step explanation:

Given :

To find : All the square roots ?

Solution :

The primitive roots modulo is defined as

Where, a is reminder

b is dividend

c is divisor  

Converting equivalent into equal,

Applying in ,

We have to find the possible value in which the x appear to be integer.

The possible value of n is 4.

As

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

2222222222222222222

step-by-step explanation: