Solve the equation 2w2=3(w−2)2 .

Expert Solution & Answer

Answer to Problem 27WE

The solution set for the given equation is {32+33i2,32−33i2} .

Explanation of Solution

Given information: The given equation is,

x3+3x=1.... (1)

Formula used: With the help of quadratic formula,

x=−b±b2−4ac2a.... (2)

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

x3+3x=1.... (From (1))3x(x3+3x)=(1)(3x)....(Multiply 3xboth sides)x2+9=3x or, x2−3x+9=0.... (3)

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

x=−(−3)±(−3)2−4(1)(9)2(1)....{a=1,b=−3and c=9}=3±−272.... (Simplified)=3±33i2....(i=−1)=3+33i2,3−33i2=32+33i2,32−33i2

Chapter 7.3, Problem 26WE

Chapter 7.3, Problem 28WE

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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

Ch. 7.1 - Prob. 11OE Ch. 7.1 - Prob. 12OE Ch. 7.1 - Prob. 13OE Ch. 7.1 - Prob. 14OE Ch. 7.1 - Prob. 15OE Ch. 7.1 - Prob. 16OE Ch. 7.1 - Prob. 17OE Ch. 7.1 - Prob. 18OE Ch. 7.1 - Prob. 19OE Ch. 7.1 - Prob. 20OE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.1 - Prob. 37WE Ch. 7.1 - Prob. 38WE Ch. 7.1 - 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Prob. 7WE Ch. 7.7 - Prob. 8WE Ch. 7.7 - Prob. 9WE Ch. 7.7 - Prob. 10WE Ch. 7.7 - Prob. 11WE Ch. 7.7 - Prob. 12WE Ch. 7.7 - Prob. 13WE Ch. 7.7 - Prob. 14WE Ch. 7.7 - Prob. 15WE Ch. 7.7 - Prob. 16WE Ch. 7.7 - Prob. 17WE Ch. 7.7 - Prob. 18WE Ch. 7.7 - Prob. 19WE Ch. 7.7 - Prob. 20WE Ch. 7.7 - Prob. 21WE Ch. 7.7 - Prob. 22WE Ch. 7.7 - Prob. 23WE Ch. 7.7 - Prob. 24WE Ch. 7.7 - Prob. 25WE Ch. 7.7 - Prob. 26WE Ch. 7.7 - Prob. 27WE Ch. 7.7 - Prob. 28WE Ch. 7.7 - Prob. 29WE Ch. 7.7 - Prob. 30WE Ch. 7.7 - Prob. 31WE Ch. 7.7 - Prob. 32WE Ch. 7.7 - Prob. 33WE Ch. 7.7 - Prob. 34WE Ch. 7.7 - Prob. 35WE Ch. 7.7 - Prob. 36WE Ch. 7.7 - Prob. 37WE Ch. 7.7 - Prob. 38WE Ch. 7.7 - Prob. 39WE Ch. 7.7 - Prob. 40WE Ch. 7.7 - Prob. 1P Ch. 7.7 - Prob. 2P Ch. 7.7 - Prob. 3P Ch. 7.7 - Prob. 4P Ch. 7.7 - Prob. 5P Ch. 7.7 - Prob. 6P Ch. 7.7 - Prob. 7P Ch. 7.7 - Prob. 8P Ch. 7.7 - Prob. 9P Ch. 7.7 - Prob. 10P Ch. 7.7 - Prob. 11P Ch. 7.7 - Prob. 12P Ch. 7.7 - Prob. 13P Ch. 7.7 - Prob. 14P Ch. 7.7 - Prob. 15P Ch. 7.7 - 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