What is the discriminant of the quadratic equation 3-4x=-6x2 ? -68 -56 76 88

Answer:The answer is option 2.Step-by-step explanation:First, you have to make the equation into 0, by adding 6x² to both sides :[tex]3 - 4x = - 6 {x}^{2} [/tex][tex]3 - 4x + 6 {x}^{2} = - 6 {x}^{2} + 6 {x}^{2} [/tex][tex]6 {x}^{2} - 4x + 3 = 0[/tex]Next, you have to apply Discriminant formula, D = b² - 4ac. Given that a quadratic equation is ax² + bx + c = 0, so for this equation a represents 6, b is -4 and c is 3 :[tex]D = {b}^{2} - 4ac[/tex][tex]let \: a = 6 \\ let \: b = - 4 \\ let \: c = 3[/tex][tex]D = {( - 4)}^{2} - 4(6)(3)[/tex][tex]D = 16 - 72[/tex][tex]D = - 56[/tex]