Answer:
The roots are 6 and 7
Step-by-step explanation:
The first step we need to do is put the equation is standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² - 2x + 49 = 11x + 7
x² - 2x + 49 - 11x - 7 = 0
x² - 13x + 42 = 0
By comparison:
a = 1
b = -13
c = 42
Now, to get the roots, we would use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x = 7
or x =6
Hope this helps :)