given the roots:
for example you are given 2 and 3 as the roots of your quadratic equation.
that means x=2 and x=3
transpose the constant to the other side
(x-2) and (x-3)
remember when you are transposing, you will change the sign to it's opposite.
after that, multiply (x-2)(x-3)
it will result to [tex]x^2-5x+6[/tex]
if the given root is a fraction. cross multiply
x=[tex] \frac{1}{2} [/tex]
2x=1
(2x-1)
given sum (s) and product (p)
just use the equation below and substitute
[tex]x^2-sx+p=0[/tex]
example:
write a quadratic equation knowing the the sum of its roots is 8 and its product is 16.
then s=8 and p=16
[tex] x^{2} -8x+16=0[/tex]
