Question

Hey can you please help me posted picture of question :)

Answer 1

The solutions for the equation are E and F

Answer 2

Answer:
The roots are:

`(-1+ √(8) )/(3) and (-1- √(8) )/(3)`

Explanation:
First we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
9x² + 6x + 1 = 8
Subtract 8 from both sides and combine like terms to reach the following:
9x² + 6x - 7 = 0
By comparison:
a = 9
b = 6
c = -7

Now, to get the roots, we would need to use the quadratic formula attached in the images.

By substitution, we would find that:
either x =
`(-6+ √((6)^2-4(9)(-7)) )/(2(9)) = (-1 + √(8) )/(3)`

or x =
`(-6- √((6)^2-4(9)(-7)) )/(2(9)) = (-1 - √(8) )/(3)`

Hope this helps :)