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Irma Crespo’s Proof 2011 Standard Form of the Quadratic Equation to Quadratic Formula
!"! + !" + ! = 0 to ! = !!± !!!!!"!!
!!! + !" = −! !!!
!+!"!= −
!!
!!!
!+!!! = −
!!
!! + !!! +
!!2
!
= −!! +
!!2
!
!! + !!! +
!!∙12
!
= −!!+
!!∙12
!
!! + !!! +
!2!
!
= −!!+
!2!
!
!! + !!! +
!!
4!!= −
!!+!!
4!!
Page 1 of 3
Irma Crespo’s Proof 2011
! +!2!
! +!2!
= −!!+!!
4!!
! +!2!
!
= −!!+!!
4!!
! +!2!
!
= −!!+!!
4!!
! +!2!
!
=!!
4!!−!!
! +!2!
!
=!!
4!!−!!∙4!4!
! +!2!
= ±!!
4!!−4!"4!!
Page 2 of 3
Irma Crespo’s Proof 2011
! +!2!
= ±!! − 4!"4!!
! +!2!
= ±!! − 4!"4!!
! +!2!
= ±!! − 4!"2!
! = ±!! − 4!"2!
−!2!
! = −!2!
±!! − 4!"2!
! =−! ± !! − 4!"
2!
Page 3 of 3
