Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 7.3, Problem 30WE
To determine

Solve the equation tt−2+2tt−1=6 .

Expert Solution & Answer
Check Mark

Answer to Problem 30WE

The solution set for the given equation is {3,43} .

Explanation of Solution

Given information: The given equation is,

  tt−2+2tt−1=6.... (1)

Formula used: With the help of quadratic formula,

  x=−b±b2−4ac2a.... (2)

Calculation: The given equation (1) can be written as,

  tt−2+2tt−1=6.... (From (1))t(t−1)+2t(t−2)=6(t−1)(t−2)....(Multiply both sidesby (t−1)(t−2))t2−t+2t2−4t=6t2−18t+12 or, 3t2−13t+12=0.... (3)

Now, the equation (3) can be solved with the help of quadratic formula (2) as,

  x=−(−13)±(−13)2−4(3)(12)2(3)....{a=3,b=−13and c=12}=13±256.... (Simplified)=13±56=13+56,13−56=3,43

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Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 7.1 - Prob. 1OECh. 7.1 - Prob. 2OECh. 7.1 - Prob. 3OECh. 7.1 - Prob. 4OECh. 7.1 - Prob. 5OECh. 7.1 - Prob. 6OECh. 7.1 - Prob. 7OECh. 7.1 - Prob. 8OECh. 7.1 - Prob. 9OECh. 7.1 - Prob. 10OE
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