What us the value of the discriminant of the quadratic equation -2^2=-8x+8 and what does its value mean about the number of a real number solutions the equation has

ANSWERThe discriminant is zero.The given equation has one real root.EXPLANATIONThe given quadratic equation is:[tex] - 2 {x}^{2} = - 8x + 8[/tex]We rewrite this in the form;[tex]a {x}^{2} + bx + c = 0[/tex][tex]- 2 {x}^{2} + 8x - 8 = 0[/tex]This means that, a=-2, b= 8, c=-8The discriminant is given by;D=b² - 4acThat is:[tex]D = {8}^{2} - 4( - 2)( - 8)[/tex][tex]D = 64 - 64 = 0[/tex]Therefore the discriminant is zero.This tells us that the quadratic equation has one real root.In order words, the given quadratic equation has a repeated real root.