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Quadratic Equations and Problem Solving, Assignments of Algebra

Sauk Valley Community CollegeAlgebra

Problem set 12 for mat-080 section n, focusing on solving quadratic equations using the quadratic formula and completing the square. It also includes problems on finding the sum of three consecutive integers and the dimensions of a rectangle.

Typology: Assignments

Pre 2010

Uploaded on 08/05/2009

koofers-user-ptv
koofers-user-ptv 🇺🇸

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MAT-080 Section N Problem Set 12
Name:
Provide exact answers. Do not approximate.
1. Solve each equation by using the quadratic formula.
(a) x2
−3x+ 1 = 0
(b) 3x2+ 2x+ 2 = 0
2. Solve each equation by completing the square.
(a) x2
−6x−7 = 0
(b) 3x2
−2x+ 12 = 0
1
pf3
pf4

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MAT-080 Section N Problem Set 12

Name:

Provide exact answers. Do not approximate.

  1. Solve each equation by using the quadratic formula.

(a) x^2 − 3 x + 1 = 0

(b) 3x^2 + 2x + 2 = 0

  1. Solve each equation by completing the square.

(a) x^2 − 6 x − 7 = 0

(b) 3x^2 − 2 x + 12 = 0

  1. Solve x^2 + 2x + c = 0 for x by completing the square.
  2. Solve x^2 + bx − 1 = 0 for x by completing the square.
  1. The sum of the squares of three consecutive integers in 110. Find the integers. Hint: It is easier if the middle of the three integers is chosen as the unknown.
  2. A rectangle is three times as long as it is wide. If its width were three inches less and its length were three inches greater, it would have an area of thirty-six square inches. Find the area it does have.
  3. The height of an object dropped from one hundred feet is given by h = − 16 t^2 + 100, where height h is measured in feet and time t in seconds. How long does it take an object dropped from one hundred feet to hit the ground?
  4. The hypotenuse of a right triangle is 100 feet. Its perimeter is 240 feet. How long are its sides?