Time remaining:
how to write quadratic equations that has integer coefficients

Algebra
Tutor: None Selected Time limit: 1 Day

how to write a quadratic equation that has interger coefficients and has as solutions the given pair of numbers -1/3 and -4.

Mar 28th, 2015

solution : 

This is the formula for finding quadratic equation when solutions or roots are given 

X2(sum of roots) + x(product of roots) =0 ---------------------1

-1/3  , -4  are the  given roots

Sum of roots = - 1/3  - 4 =( -1- 12)/3 = - 13/3

Product of roots =  - 1/3  x  - 4 = 4/3

Putting these values in the above equation formula  -------------1

We have :

X2 (- 13/3) + x( 4/3) =0

Now we have same denominators 3 so, we can simplify like this :

-  13 X2 + 4x = 0 x3 =0

Or  13 X2 – 4x =0  taking ‘ –‘ as common 

Therefor the required  quadratic equation  is   13 X2 – 4x =0   

thanks

Mar 30th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Mar 28th, 2015
...
Mar 28th, 2015
Mar 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer