Solve the equation after making an appropriate substitution. - 14x +453D0 Determine the appropriate substitution using the new variable u: u = Write the new quadratic equation using the variable u: (Type an equation. Type your answer in standard form.) Solve the new quadratic equation for the variable u. u = (Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) The solution set to the original equation is {} (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.4: Quadratic Equations
Problem 5E
Question
Solve the equation after making an appropriate substitution.
x- 14x2 +45 = 0
Determine the appropriate substitution using the new variable u: u =
Write the new quadratic equation using the variable u:
(Type an equation. Type your answer in standard form.)
Solve the new quadratic equation for the variable u. u =
(Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
The solution set to the original equation is {}.
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:Solve the equation after making an appropriate substitution. x- 14x2 +45 = 0 Determine the appropriate substitution using the new variable u: u = Write the new quadratic equation using the variable u: (Type an equation. Type your answer in standard form.) Solve the new quadratic equation for the variable u. u = (Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) The solution set to the original equation is {}. (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
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