Question 603438
Write a quadratic equation in the variable x having the given numbers as solutions.
 Type the equation in standard form -√ ̅7, 3 √ ̅7 
:
Write a factor from each root
x = -{{{sqrt(7)}}}
(x  + {{{sqrt(7)}}}) = 0
and
x = {{{3sqrt(7)}}}
(x - {{{3sqrt(7)}}}) = 0
FOIL
(x + {{{sqrt(7)}}}) * (x - {{{3sqrt(7)}}}) = 0
:
x^2 - {{{3sqrt(7)}}}x + {{{sqrt(7)}}}x - 3(7) = 0
:
y = x^2 - {{{2sqrt(7)}}}x - 21