Go t I t? 4. Suppose the total area of the garden and border in Problem 4 is 150 ft2. What
is the side length x of each square plot? Round to the nearest hundredth.9 Lesso n Ch eck^
Do y o u k n o w H OW?
Solve each equation by completing the square.
1. x2 + 8x = 180- f 2 — 4t — 165 = 0
- m2 + 7m — 294 = 0
- 2z2 + 3z = 135
MATHEMATICAL
Do y o u UN DERSTAND? ^PRACTICES- Vocabulary Tell whether you would use square roots,
factoring, or completing the square to solve each
equation. Explain your choice of method.
a. k2 - 3k = 304 b. f2- 61+16 = 0 - C o m p a r e a n d C o n t r a s t How is solving a quadratic
equation using square roots like completing the
square? How is it different?
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Practice Find the value of c such that each expression is a perfect-square trinomial. See Problem 1.- x2+18x+c 8. z2 + 2 2z + c 9. p2 - 30p + c
- k2 — 5k + c 11. g 2 + 17g+ c 12. q2 — 4q + c
MATHEMATICAL
PRACTICESSolve each equation by completing the square. If necessary, round to the
nearest hundredth.See Problem 2.- g2 + 7g = 144
16. a2 - 2a - 35 = 0
14. r2 - 4r = 30
17. m2+ 12 m+ 19 = 0
Find the vertex of each parabola by completing the square.- y = x2 + 4 x - 16 20. y = x2 + 18x — 3 0 7
- y = x2 + 6x-7 23. y = x2 + 2x - 28
- m2 + 16 m = -59
- w2 - Uw + 13 = 0
See Problem 3.- y = x2 — 2x — 323
- y = x2 + 12x - 468
Solve each equation by completing the square. If necessary, round to the
nearest hundredth.See Problem 4.- 4a2 — 8a = 24
28. 4w2 + 12u;-44 = 0
26. 2y2 - 8y - 10 = 0
29. 3r2 + 18r = 21
27. 5n2 — 3n — 1 5 = 1 0
30. 2v2 — 10u — 20 = 8
31. Art The painting shown at the right has an area of
420 in.2. What is the value of x? x in.
(2x + 5) in.L
PowerAlgebra.com ^ Lesson 9-5 Completing the Square^
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