Home > Algebra calculators > Find the quadratic equation whose roots are alpha and beta calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Find find quadratic equation, roots alpha=3, beta=-4

Solution:
Your problem `->` find quadratic equation, roots alpha=3, beta=-4


Let `alpha=3` and `beta=-4`

Then, the sum of the roots `= alpha+beta=(3)+(-4)=-1`

and the product of the roots `= alpha*beta=(3)*(-4)=-12`

The equation with roots `alpha` and `beta` is given by

`x^2-(alpha+beta)x+alpha*beta=0`

`:.x^2-(-1)x+(-12)=0`

`:.x^2+x-12=0`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2019. All rights reserved. Terms, Privacy