1.5
Equations
EXAMPLES Solve the equation.
1.
2x − 1 4
=
x+2 5
2.
x 2 − 16 = 0
3.
x 2 + 8x + 12 = 0
4.
6x(x − 1) = 21− x
5.
(2x − 1)2 = 0
EXAMPLE Use two methods to solve the equation below. First, solve it by completing the
square, and second, solve it by using the quadratic formula.
x 2 + 3x −
7
=0
4
EXAMPLES Find all real solutions of the equation.
1.
10 12
−
+4=0
x x−3
2.
5 − x +1 = x − 2
3.
x 4 − 5x 2 + 4 = 0
4.
x1/2 + 3x −1/2 = 10x −3/2
If an object is dropped from a height of
seconds is given by
where
above the ground, then the object’s height after t
is measured in
EXAMPLE If a ball is dropped from the top of a building 288 ft tall.
(a) How long will it take to fall half the distance to ground level?
(b) How long will it take to fall to ground level?