ANSWERSQUESTION 2:a = 2, b = 10, c = -5D = [tex]b^2 - 4ac[/tex] = [tex](10)^2 - 4(2)(-5)[/tex] = [tex]100 - 4(-10)[/tex] = [tex]100 + 40[/tex] = 140 (D > 0)Roots are real and distinct.QUESTION 3:a = 1, b = 0, c = 15D = [tex]b^2 - 4ac[/tex] = [tex](0)^2 - 4(1)(15)[/tex] = [tex]0 - 4(15)[/tex] = [tex]0 - 60[/tex] = -60 (D < 0)Roots are imaginary.QUESTION 4:a = 4, b = -2, c = 3D = [tex]b^2 - 4ac[/tex] = [tex](-2)^2 - 4(4)(3)[/tex] = [tex]4 - 4(12)[/tex] = [tex]4 - 48[/tex] = -44 (D < 0)Roots are imaginary.