4-5 Completing the Square
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect
square.
27. SOLUTION: To find the value of c, divide the coefficient of x by 2, and square it.
Substitute 64 for c in the trinomial.
29. SOLUTION: To find the value of c, divide the coefficient of x by 2, and square it.
Substitute c = 20.25 in the trinomial.
Solve each equation by completing the square.
31. SOLUTION: Use the Square Root Property.
The solution set is {–4.61, 2.61}.
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Substitute c = 20.25 in the trinomial.
4-5 Completing the Square
Solve each equation by completing the square.
31. SOLUTION: Use the Square Root Property.
The solution set is {–4.61, 2.61}.
35. SOLUTION: Use the Square Root Property.
The solution set is
.
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SOLUTION: Page 2
The solution set is
4-5 Completing the Square
.
37. SOLUTION: [
The solution set is {–1, 3}.
39. SOLUTION: The solution set is
.
41. SOLUTION: The solution set is
.
43. SOLUTION: eSolutions Manual - Powered by Cognero
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The solution set
4-5 Completing
theisSquare
.
43. SOLUTION: Use the Square Root Property.
The solution set is
.
45. SOLUTION: The solution set is
.
47. SOLUTION: eSolutions Manual - Powered by Cognero
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The solution set is
4-5 Completing the Square
.
47. SOLUTION: The solution set is {–0.89, 5.39}.
Solve each equation. Round to the nearest hundredth if necessary.
49. SOLUTION: Write the equation in standard form and solve using the quadratic formula.
The quadratic formula is given by:
The solution set is {2.38, 4.62}.
51. SOLUTION: Write the equation in standard form and solve using the quadratic formula.
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The solution set is {2.38, 4.62}.
4-5 Completing
the Square
51. SOLUTION: Write the equation in standard form and solve using the quadratic formula.
The quadratic formula is given by:
The solution set is {0.26, –1.26}.
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect
square.
55. SOLUTION: To find the value of c, divide the coefficient of x by 2 and square it.
Substitute the value of c in the trinomial.
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