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Solve each equation. Check your solutions.$$4-\frac{7}{r}-\frac{2}{r^{2}}=0$$
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
Oregon State University
McMaster University
Harvey Mudd College
Lectures
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For exercise 10 will have four. R squared minus seven. R minus two equals zero. We can try and factor this out where we'll have a two and a one And for our plus 1 ... R -2 satisfies these constraints so r equals two or negative 1/4. And we can check. So we have 4 -7/2 -2. over four equals zero. With four. will have 16 minus 14 minus wait Yeah minus two. Which is true, zero does equal zero here and then we'll have 4 -7 over negative 1/4 -2-1. 16 equals zero. So we can rewrite this as 4 -4 plus 28 -32 equals zero. This is true zero equals 0. So this satisfies as our solution.
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