SOLUTION: Describe the nature of the roots of the following quadratic: y=x^2-3x-9

Question 313233: Describe the nature of the roots of the following quadratic: y=x^2-3x-9
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

For any quadratic polynomial equation of the form:

Find the Discriminant,

and evaluate the nature of the roots as follows:

Two real and unequal roots. If

is a perfect square, the quadratic factors over

Two real and equal roots. Alternatively, one real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.

A conjugate pair of complex roots of the form

where

is the imaginary number defined by

John

RELATED QUESTIONS
For the following quadratic equation, determine the nature of the roots. 5x^2-20x-225=0 (answered by ikleyn,MathLover1,MathTherapy)

Determine the nature roots of the following without solving the equation 1. x2 + 3x - 9... (answered by longjonsilver)

Describe the nature and the number of the solutions of... (answered by josmiceli,kkasko)

discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0 discriminant to... (answered by richard1234)

Quadratic equation find Discrminant find Nature of the roots 1.-6x^2+7x+3=0 (answered by solver91311)

State the value of the descriminant & describe the nature of the roots in... (answered by jim_thompson5910)

Find the descriminate of y = x^2 - 6x + 9 and decribe the nature of the roots. a. -6;2 (answered by Alan3354)

Have I determined the correct discriminant using b^2- 4ac to determine the nature of the... (answered by MathLover1)

find discriminant of the following quadratic equation and examine the nature of real... (answered by Edwin McCravy,Theo)