Find the small positive integer solution that solves the equation. if there is no solution, type NONE. (8x)(mod 13)≡4
x=?

9514 1404 393

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

  x = 7

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The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.