HW #58 Solutions
1. 7 cm
2. 20 in
5. 8, 10 or -10, -8
Review: a.
3. 5 in, 15 in, 3in
6. 6, 8
7. 7 ft, 14 ft
b. 5/2, 7/2
c. -3/2, -1/2
4. 10 ft, 13 ft
d. 3, 7
Aim: Group work on Aims 50-58
Do Now: 1) Solve the quadratic equation below using two methods. One method
must be factoring:
4 - 16t 2 = 0
4 - 16t 2 = 0
2) Solve for x:
(x - 3) 2 = 5
Solve the following quadratic equations by FACTORING:
1) 18x2 - 8x = 0
2) 2x2 - 5x = 88
3) x2 + 14x + 48 = 288
4) 3x2 - 2x = 21
5) 4x2 = 25
6) 4 = -5x + 6x2
For #s 7-12, solve the quadratic equations by COMPLETING THE SQUARE. Leave
all answers in simplest radical form:
7) x2 + 9x = 136
8) x2 - 20x + 32 = 0
9) 3x2 + 5x + 2 = 26
10) 4x2 - 8x = 24
11) x2 + 3x - 5 = 0
12) x2 - 12x + 11 = 0
13) a.Write an equation that defines f(x) as a trinomial where f(x) = (2x – 1)(4 + x) - 3x2 - 8.
b. Solve for x when f(x) = 0.
For #s 14-15, solve the quadratic equations by using the QUADRATIC FORMULA.
Leave all answers in simplest radical form:
14) 2x2 + 4x - 7 = 0
15) 5x2 + 16x - 84 = 0
Solve the following word problems using an algebraic solution:
16) You are building a rectangular wading pool. You want the area of the bottom to
be 90 ft2. You want the length of the pool to be 3 ft longer than twice its width.
What will the dimensions of the pool be?
17) The product of two consecutive numbers is 14 less than 10 times the smaller
number. Find each number.