A.
radicand or determinant is if have equation
ax^2+bx+c=0
determinant is
[tex] b^2-4a} [/tex]
if [tex] b^2-4ac [/tex]>0, then you have 2 real roots
if [tex] b^2-4ac [/tex]=0, then you ahve 1 real root
if [tex] b^2-4ac [/tex]<0, then you ahve 2 complex roots
9x^2-36+36
a=9b
b=-36
c=36
[tex] (-36)^2-4(9)(36) [/tex]
[tex] (-36)^2-(36)(36) [/tex]
we can see that they cancel out and therefor [tex] b^2-4ac [/tex]=0
there is 1 real root
B. factor
(2x-7)(x-1)=0
set each to zero
2x-7=0
2x=7
x=7/2
x-1=0
x=1
x=7/2 and 1
