Write a quadratic equation with root 5 and -6?

1 Answer
May 15, 2018

#x^2+x-30#

Explanation:

A quadratic equation with roots #alpha# and #beta# is

#a(x-alpha)(x-beta)#

Hence a quadratic equation with roots #5# and #-6# is

#a(x-5)(x-(-6))#

= #a(x-5)(x+6)#

= #a(x^2-5x+6x-30)#

= #ax^2+ax-30a#

and if #a=1#, the equation would be #x^2+x-30#