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 – Vx - 2 0 is of quadratic type: We can solve it by letting Vr = u and x = u? and factoring. Or we could solve for Vx, 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. (а) х Vx - 2 = 0 Quadratic type; solve for the radical, and square 12 10 + 1 = 0 (b) (x – 3)2 Quadratic type; multiply by LCD
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 – Vx - 2 0 is of quadratic type: We can solve it by letting Vr = u and x = u? and factoring. Or we could solve for Vx, 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. (а) х Vx - 2 = 0 Quadratic type; solve for the radical, and square 12 10 + 1 = 0 (b) (x – 3)2 Quadratic type; multiply by LCD
Chapter2: Equations And Inequalities
Section2.5: Quadratic Equations
Problem 51SE: A person has agarden that has a length 10 feet longer than the width. Set up a quadratic equation to...
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Transcribed Image Text: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 – Vx - 2 0 is of
quadratic type: We can solve it by letting Vr = u and
x = u? and factoring. Or we could solve for Vx, 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.
(а) х
Vx - 2 = 0
Quadratic type; solve for the
radical, and square
12
10
+ 1 = 0
(b)
(x – 3)2
Quadratic type;
multiply by LCD
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