Find the discriminant and use it to describe the type of solutions x^2-7x+3=0

D = 36

Since the discriminant is greater than zero, hence the root of the equation will be real and distinct

Step-by-step explanation:

Find the discriminant and use it to describe the type of solutions x^2-7x+3=0

Given the quadratic equation

ax²+bx+c  = 0

Discriminant is expressed as

D = b² - 4ac

It is used to determine the nature of the roots of the equation

Given the equation x^2-7x+3=0'

a = 1, b = -7 and c = 3

D = (-7)² - 4(1)(3)

D = 49 - 12

D = 36

Since the discriminant is greater than zero, hence the root of the equation will be real and distinct

(a) the volume of the cone is 20/3 in3

hence, option a is correct.