Question
Solve the equation $x^2+9 x+9=0$ in the integers modulo 11 .
Step 1
This means we will be working with the coefficients modulo 11. Step 2: Next, we can simplify the coefficients modulo 11. The coefficients are already less than 11, so we have: \[ x^2 + 9x + 9 \equiv 0 \mod{11} \] Step 3: To solve the quadratic equation \(x^2 Show more…
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