SOLUTION: For the following quadratic equation, determine the nature of the roots. 5x^2-20x-225=0

Algebra.Com
Question 1128717: For the following quadratic equation, determine the nature of the roots.
5x^2-20x-225=0

Found 3 solutions by ikleyn, MathLover1, MathTherapy:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

I can determine not only "the nature" of the roots (the term NONSENSICAL in MATH), but their values, too: they are integer numbers 9 and -5.


------------------


Solving quadratic equations is a  BASIC  ELEMENTARY  SKILL  each student  MUST  DEVELOPE  in his  (or her)  school years.

To help the students,  the lessons were created in this site
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
    - HOW TO solve quadratic equation by completing the square - Learning by examples
giving the general theory and examples.

Read them and learn on how to solve quadratic equations using the quadratic formula on your own,  once and for all.



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
......first simplify, both sides divide by
............factor




solutions:

=>

=>



Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
For the following quadratic equation, determine the nature of the roots.
5x^2-20x-225=0
The NATURE of the roots is determined by calculating the DISCRIMINANT, . 
In this case, it's 4,900 which signifies that the:
RELATED QUESTIONS

Use the discriminant to determine the nature of each quadratic equation roots:... (answered by Fombitz)
The question states: Determine the nature of the roots:... (answered by Earlsdon)
Determine the nature of the roots of:... (answered by ewatrrr)
Determine the nature roots of the following without solving the equation 1. x2 + 3x - 9... (answered by longjonsilver)
Quadratic equation find Discrminant find Nature of the roots 1.-6x^2+7x+3=0 (answered by solver91311)
Have I determined the correct discriminant using b^2- 4ac to determine the nature of the... (answered by MathLover1)
determine the nature of the roots of the quadratic equation if the discriminant is... (answered by stanbon)
Describe the nature of the roots of the following quadratic:... (answered by solver91311)
find discriminant of the following quadratic equation and examine the nature of real... (answered by Edwin McCravy,Theo)