Answer:
Step-by-step explanation:
You could factor this to find out how many real roots you have, but it's easier to use the rule of the discriminate. The discriminate comes from the quadratic formula:
[tex]b^2-4ac[/tex]
Plug in the numbers from the quadratic and see what the value of it is. If the:
discriminate < 0, you have 2 imaginary roots
discriminate = 0, you have 1 real root, multiplicity 2 and
discriminate > 0, you have 2 real roots
Our b is 8, our a is 6 and our c is -7 (remember you have to set the polynomial equal to 0 to do this).
[tex]8^2-4(6)(-7)=232[/tex]
Because 232 is > 0, we have 2 real roots.
