4-5 Completing the Square
Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary.
1. SOLUTION: Factor the perfect square trinomial.
Use the Square Root Property.
The solution set is {–8.45, –3.55}.
2. SOLUTION: Factor the perfect square trinomial.
Use the Square Root Property.
The solution set is {0.39, 7.61}.
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SOLUTION: Page 1
The solution set
{0.39, 7.61}.
4-5 Completing
theisSquare
3. SOLUTION: Factor the perfect square trinomial.
Use the Square Root Property.
The solution set is {–12.87, –5.13}.
4. SOLUTION: Factor the perfect square trinomial.
Use the Square Root Property.
The solution set is {–2.77, –0.56}.
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LIGHT
The
5. LASER
2
area A in square feet of a projected laser light show is given by A = 0.16d , wherePage
d 2
is the distance from the laser to the screen in feet. At what distance will the projected laser light show have an area
of 100 square feet?
The solution set
{–2.77, –0.56}.
4-5 Completing
theisSquare
2
5. LASER LIGHT SHOW The area A in square feet of a projected laser light show is given by A = 0.16d , where d
is the distance from the laser to the screen in feet. At what distance will the projected laser light show have an area
of 100 square feet?
SOLUTION: Substitute 100 for A, and find the value of d.
Use the Square Root Property.
d cannot be negative.
So, the distance is 25 feet.
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect
square.
6. SOLUTION: To find the value of c, divide the coefficient of x by 2 and square it.
So:
c = 25
Substitute 25 for c in the trinomial.
7. SOLUTION: To find the value of c, divide the coefficient of x by 2 and square the result.
So:
c = 6.25
Substitute 6.25 for c in the trinomial.
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Solve
each- Powered
equation
by completing
8. the square.
Page 3
Substitute 6.25 for c in the trinomial.
4-5 Completing the Square
Solve each equation by completing the square.
8. SOLUTION: Use the Square Root Property.
The solution set is {–4, 2}.
9. SOLUTION: Use the Square Root Property.
The solution set is
.
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The solution set is
4-5 Completing the Square
.
10. SOLUTION: Use the Square Root Property.
The solution set is { –0.69, 2.19}.
11. SOLUTION: Use the Square Root Property.
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The solution set is { –4.37, 1.37}.
Page 5
The solution the
set isSquare
{ –0.69, 2.19}.
4-5 Completing
11. SOLUTION: Use the Square Root Property.
The solution set is { –4.37, 1.37}.
12. SOLUTION: Use the Square Root Property.
The solution set is
13. SOLUTION: eSolutions Manual - Powered by Cognero
Page 6
The solution set is
4-5 Completing the Square
13. SOLUTION: Use the Square Root Property.
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Page 7