Question

find the discriminant of the quadratic equation 3x² – 5x + 7 = 0 and hence find the nature of its roots.​

Answer 1

You have 3x^2 + 5x + 7 = 0.

x1 = [-5+(5^2–4*3*7)^0.5]/6

= [-5+(25–84)^0.5]/6

= [-5+(-59)^0.5]/6

x2 = [-5-(5^2–4*3*7)^0.5]/6

= [-5-(25–84)^0.5]/6

= [-5-(-59)^0.5]/6.

So x has two imaginary values: x1 = [-5+(-59)^0.5]/6 and

x2 =[-5-(-59)^0.5]/6