Answer to Q3:
b = 6
Term you are adding to both sides = 9
x = ± 25 - 3
Explanation:
The equation is already rewritten in the form:
x² + bx = c
x² + 6x = 16
b = 6
To complete the square, find half of b, square it, and add it to both sides of the equation.
=
= 3² = 9
x² + 6x + 9 = 16 + 9
x² + 6x + 9 = 25
Rewrite the left side of the equation as a squared term.
x² + 6x + 9 = 25
(
)² = 25
(x + 3)² = 25
Take the square root of both sides.
x + 3 = ± 25
Make x the subject.
x = ± 25 - 3