What are the solutions to the equation x^2=7\mod 19 ?

The solutions to the equation x^2=7\mod 19 are x=sqrt(133) sqrt(\mod),x=-sqrt(133) sqrt(\mod)

Find the zeros of x^2=7\mod 19

The zeros of x^2=7\mod 19 are x=sqrt(133) sqrt(\mod),x=-sqrt(133) sqrt(\mod)

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x^{2} = 7 mod 19

Solution steps

x^{2} = 7 mod 19

Multiply the numbers:

7 \cdot 19 = 133

x^{2} = 133

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = 133 mod, x = - 133 mod

Simplify

133 mod : 133 mod

Simplify

- 133 mod : - 133 mod

x = 133 mod, x = - 133 mod

40 - 13 x = - x^{2}

4 x^{2} + x - \frac{1}{4} = 0

7^{2} = 2^{2} + x^{2}

(2 x + 1) (5 x + 2) = (2 x - 2) (x - 2)

16 m^{2} - 25 = 0

What are the solutions to the equation x^2=7\mod 19 ?
The solutions to the equation x^2=7\mod 19 are x=sqrt(133) sqrt(\mod),x=-sqrt(133) sqrt(\mod)
Find the zeros of x^2=7\mod 19
The zeros of x^2=7\mod 19 are x=sqrt(133) sqrt(\mod),x=-sqrt(133) sqrt(\mod)