2. ESSENTIAL QUESTIONS
• How do you solve problems involving squares?
• How do you solve problems involving square roots?
• Where you’ll see this:
• Physics, safety, engineering, mechanics
16. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
17. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
3 x =2
18. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
3 x =2
3 3
19. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
3 x =2
3 3
2
x=
3
20. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
3 x =2
3 3
2
x=
3
2
2 2
( x) =
3
21. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
3 x =2
3 3
2
x=
3
2
2 2 4
( x) =
3
x=
9
22. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
2
± 24 = v
3 x =2
3 3
2
x=
3
2
2 2 4
( x) =
3
x=
9
23. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
2
± 24 = v
3 x =2
3 3 v = ± 24
2
x=
3
2
2 2 4
( x) =
3
x=
9
24. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
2
± 24 = v
3 x =2
3 3 v = ± 24
2
x= or
3
2
2 2 4
( x) =
3
x=
9
25. EXAMPLE 1
Solve each equation. Check the solution.
2
c. 3 x +1= 3 d. 24 = v
−1 −1
2
± 24 = v
3 x =2
3 3 v = ± 24
2
x= or
3
2 2
2
4 v ≈ ±4.898979486
( x) =
3
x=
9
27. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3
2
2 2
( c) =
3
28. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3
2
2 2
( c) =
3
4
c=
9
29. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2
( c) =
3
4
c=
9
30. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2 7w =14
( c) =
3
4
c=
9
31. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2 7w =14
( c) =
3 2
( 7w ) =14 2
4
c=
9
32. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2 7w =14
( c) =
3 2
( 7w ) =14 2
4
c= 7w =196
9
33. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2 7w =14
( c) =
3 2
( 7w ) =14 2
4
c= 7w =196
9 7 7
34. EXAMPLE 1
Solve each equation. Check the solution.
2
e. c = f. 7w −10 = 4
3 +10 +10
2
2 2 7w =14
( c) =
3 2
( 7w ) =14 2
4
c= 7w =196
9 7 7
w = 28
35. EXAMPLE 2
The velocity v of a satellite moving in a circular orbit near the
surface of Earth is given by the formula v = gr ,
where g represents the force of gravity and r represents the
radius of Earth. Given that g = 9.8 m/sec2 and v = 7.91X103
m/sec, determine the radius of Earth to the nearest meter.
36. EXAMPLE 2
The velocity v of a satellite moving in a circular orbit near the
surface of Earth is given by the formula v = gr ,
where g represents the force of gravity and r represents the
radius of Earth. Given that g = 9.8 m/sec2 and v = 7.91X103
m/sec, determine the radius of Earth to the nearest meter.
v = gr
37. EXAMPLE 2
The velocity v of a satellite moving in a circular orbit near the
surface of Earth is given by the formula v = gr ,
where g represents the force of gravity and r represents the
radius of Earth. Given that g = 9.8 m/sec2 and v = 7.91X103
m/sec, determine the radius of Earth to the nearest meter.
v = gr
3
7.91×10 = 9.8r