To solve the equation, ٦س² + ٥س = ١, we first need to rewrite it in the form of a quadratic equation by moving ١ to the left side of the equation:
٦س² + ٥س - ١ = ٠
Now, we need to factor the quadratic equation or use the quadratic formula to find the values of س.
The factored form of the equation is:
(2س - 1)(3س + 1) = ٠
Setting each factor to zero gives us:
2س - 1 = ٠ or 3س + 1 = ٠
Solving these equations gives us the values of س:
2س = 1 or 3س = -1
س = ١/٢ or س = -١/٣
Therefore, the solutions to the equation are س = ١/٢ and س = -١/٣.