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Solve each equation. Check your solutions.$$\frac{14}{x}=x-5$$
$\{-2,7\}$
Precalculus
Algebra
Chapter 11
Quadratic Equations, Inequalities, and Functions
Section 4
Equations Quadratic in Form
Introduction to Conic Sections
Equations and Inequalities
Functions
Polynomials
Missouri State University
Campbell University
Oregon State University
McMaster University
Lectures
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Solve.$$14=x(x-5)$$
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for exercise seven We'll have 14 equals x squared minus five X. Bringing everything to my right hand side. I have x squared minus five X minus 14. I can factor this out So that I have X&X -7-plus 2. Where X equals seven or negative to you and then I'm going to check my solution so I have 14/7 Equals 7 -5 and I'll have 14 over negative two equals negative two minus five. 14/7 is 27 minus five is two strikes out 14 divided by negative two is negative seven negative two and negative five is negative seven. This checks out to you.
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