Brahmagupta solved a quadratic equation of the form ax2 + bx = c using the formula x =, which involved only one solution. using brahmagupta’s method, the solution to the quadratic equation x2 + 7x = 8 would be x = 1. using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by . what is the second solution?

7. if the value of x varies directly with the value of y, and x = 3 when y = 21. what is the valu y, and x = 3 when y = 21. what is the value of x when y = 105?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

What is the result of the following division?