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

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the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this