DISCUSS DISCOVER PROVE WRITE 92. DISCUSS: Solving an Equation in Different Ways We have learned several different ways to solve an equation in this section. Some equations can be tackled by more than one method. For example, the equation x – Vĩ – 2 = 0 is of quadratic type: We can solve it by letting Vx = u and x = u² and factoring. Or we could solve for Vr, square each side, and then solve the resulting quadratic equation. Solve the following equations using both methods indicated, and show that you get the same final answers. (a) x – Vĩ – 2 = 0 Quadratic type; solve for the radical, and square 12 (b) (x – 3)² 10 +1 = 0 X - 3 Quadratic type; multiply by LCD
DISCUSS DISCOVER PROVE WRITE 92. DISCUSS: Solving an Equation in Different Ways We have learned several different ways to solve an equation in this section. Some equations can be tackled by more than one method. For example, the equation x – Vĩ – 2 = 0 is of quadratic type: We can solve it by letting Vx = u and x = u² and factoring. Or we could solve for Vr, square each side, and then solve the resulting quadratic equation. Solve the following equations using both methods indicated, and show that you get the same final answers. (a) x – Vĩ – 2 = 0 Quadratic type; solve for the radical, and square 12 (b) (x – 3)² 10 +1 = 0 X - 3 Quadratic type; multiply by LCD
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 113E
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Question
DISCUSS: Solving an Equation in Different Ways We have
learned several different ways to solve an equation in this
section. Some equations can be tackled by more than one
method. For example, the equation x !x 2 0 is of
quadratic type: We can solve it by letting !x u and
x u2
and factoring. Or we could solve for !x, square each
side, and then solve the resulting
the following equations using both methods indicated, and
show that you get the same final answers.
Transcribed Image Text:DISCUSS
DISCOVER
PROVE
WRITE
92. DISCUSS: Solving an Equation in Different Ways We have
learned several different ways to solve an equation in this
section. Some equations can be tackled by more than one
method. For example, the equation x – Vĩ – 2 = 0 is of
quadratic type: We can solve it by letting Vx = u and
x = u² and factoring. Or we could solve for Vr, square each
side, and then solve the resulting quadratic equation. Solve
the following equations using both methods indicated, and
show that you get the same final answers.
(a) x – Vĩ – 2 = 0
Quadratic type; solve for the
radical, and square
12
(b)
(x – 3)²
10
+1 = 0
X - 3
Quadratic type;
multiply by LCD
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