Solve the following quadratic equation using the quadratic formula.Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
Accepted Solution
A:
5x ^ 2 - 8x + 5 = 0 For this case, the first thing we must do is apply the resolver. We have then: x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a) substituting we have: x = (- (- 8) +/- root ((- 8) ^ 2 - 4 * (5) * (5))) / (2 * (5)) Rewriting: x = (8 +/- root (64 - 100)) / (10) x = (8 +/- root (-36)) / (10) x = (8 +/- 6raiz (-1)) / (10) x = (4 +/- 3 * i) / (5) Answer: The solutions are: x1 = (4 + 3 * i) / (5) x2 = (4 - 3 * i) / (5)