(Originais Teachy 2023) - Question Hard of Mathematics

A projectile is launched from the ground with an initial velocity of 40 m/s, forming an angle of 60 degrees with the horizontal. Disregarding air resistance and considering gravity acceleration as 10 m/s², the maximum range of the projectile can be determined by solving a second-degree equation that models the projectile's parabolic trajectory. Use the Bhaskara formula to find the roots of this equation, where 'x' represents the horizontal distance traveled by the projectile and the coefficients 'a', 'b', and 'c' are obtained from the components of the initial velocity and gravity acceleration. Based on this data, determine the maximum range of the projectile.