Answer:
The roots are -1/3 and -2
Explanation:
First we wpild need to put the equation in the standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
3x² + 7x + 8 = 6
3x² + 7x + 8 - 6 = 0
3x² + 7x + 2 = 0
By comparison:
a = 3
b = 7
c = 2
Now, to get the roots, we would need to use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x = [tex] \frac{-7+ \sqrt{(7)^2-4(3)(2)} }{2(3)} = - \frac{1}{3} [/tex]
or x = [tex] \frac{-7- \sqrt{(7)^2-4(3)(2)} }{2(3)} [/tex] = -2
Hope this helps :)
