Question
Find the roots of the quadratic equation 3m2 - 2m -65=0
Answers
Answered by
GPT 3.5
To find the roots of the quadratic equation 3m^2 - 2m - 65 = 0, we can use the quadratic formula:
m = [-(-2) ± √((-2)^2 - 4(3)(-65))] / (2*3)
m = [2 ± √(4 + 780)] / 6
m = [2 ± √784] / 6
m = [2 ± 28] / 6
m1 = (2 + 28) / 6 = 30 / 6 = 5
m2 = (2 - 28) / 6 = -26 / 6 = -13/3
Therefore, the roots of the quadratic equation 3m^2 - 2m - 65 = 0 are m = 5 and m = -13/3.
m = [-(-2) ± √((-2)^2 - 4(3)(-65))] / (2*3)
m = [2 ± √(4 + 780)] / 6
m = [2 ± √784] / 6
m = [2 ± 28] / 6
m1 = (2 + 28) / 6 = 30 / 6 = 5
m2 = (2 - 28) / 6 = -26 / 6 = -13/3
Therefore, the roots of the quadratic equation 3m^2 - 2m - 65 = 0 are m = 5 and m = -13/3.