Jake plans on eating 14 meals per week in the dining halls?Step 2:Jake also has the option of buying “dining dollars” to use at other eating establishments on campus. With dining dollars Jake will get 10% off all food purchases. How much will Jake save over the course of the semester by usiTask 5:if he spends $20 a week at these establishments?Task 6:if he spends $40 a week at these establishments?Task 7:if he spends $60 a week at these establishments?Finding a Solution:Step 3:Jake plans on eating 17 meals a week in the dining halls and spending $30 a week at other establishments.Task 8:Which plan should he buy?Task 9:How much will Jake spend on food for the semester?Applying the Situation to Your Life:You can do these same calculations for your own circumstances.•See what plans are offered.•Determine how often you will eat in the dining halls.•Decide which plan would be right for you.•Calculate how much you will need to spend on food for the semester.611612Chapter 9 Organizer612613Topic and ProcedureExamplesSolving a quadratic equation by using the square root property, p. 545Solve.Page 48 of 50Print | Beginning & Intermediate Algebra1/31/2014...

PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted.Topic and ProcedureExamplesIf x2= a, then x= Solving a quadratic equation by completing the square, p. 546
1.
Rewrite the equation in the
form
ax
2
+
bx
=
c
.
2.
If
a
≠
1, divide each term
of the equation by
a
.
3.
Square half of the
numerical coefficient of the
linear term. Add the result to
both sides of the equation.
4.
Factor the left side; then
take the square root of both
sides of the equation.
5.
Solve the resulting
equation for
x
.
6.
Check the solutions in the
original equation.
Solve.
Solve a quadratic equation
by using the quadratic
formula, p. 552
If
ax
2
+
bx
+
c
= 0, where
a
≠
0,
1.
Rewrite the equation in
standard form.
2.Determine the values of a, b, and c.
3.
Substitute the values of
a,
b
, and
c
into the formula.
4.
Simplify the result to
obtain the values of
x
.
5.
Any imaginary solutions
to the quadratic equation
should be simplified by
using the definition
, where
a
> 0.
Solve.
a
= 2,
b
=
−
3,
c
= 2
Placing a quadratic
equation in standard form,
p. 554
A quadratic equation in
standard form is an equation
of the form
ax
2
+
bx
+
c
= 0,
where
a, b
, and
c
are real
numbers and
a
≠
0. It is
often necessary to remove
parentheses and clear away
fractions by multiplying
each term of the equation by
the LCD to obtain the
standard form.
Rewrite in quadratic form.
2 over begin denominator x
−
3 end denominator plus x over begin denominator x plus 3 end denominator equals 5 over begin denominator x to the 2 power
−
9 end denominator
open parenthesis x plus 3 close parenthesis open parenthesis x
−
3 close parenthesis open square bracket 2 over begin denominator x
−
3 end denominator close square bracket plus open parenth

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