Question

Solve the equation for x, where x is a real number (5 points): 3x^2 + 8x + 2 = 0

Answer 1

To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                        x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                        x = [ -8 ± √((8)^2 - 4(3)(2)) ] / ( 2(3) )
                                        x = [-8 ± √(64 - (24) ) ] / ( 6 )
                                        x = [-8 ± √(40) ] / ( 6)
                                        x = [-8 ± 2*sqrt(10) ] / ( 6 )
                                        x = -4/3 ± sqrt(10)/3
The answers are -4/3 + sqrt(10)/3 and -4/3 - sqrt(10)/3.