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Without solving each equation, find the sum and product of the roots.$8 x+12=x^{2}$

$\operatorname{sum}=8$product $=-12$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 7

Sum and Product of the Roots of a Quadratic Equation

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Oregon State University

Harvey Mudd College

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we first gotta make this look the way we want to and I can see that X squared. I want to get rid of it on this side by subtracting X squared from both sides of the equation. Meaning are a quadratic equation will be negative. X squared plus eight X plus 12 equal to zero. And I'm gonna do one more thing and multiply everything by negative one because I don't want a negative x word. I want a positive X squared. It's a negative. One times a positive eight is in negative eight x and negative. One times 12 is a negative 12. So this is the quadratic equation I'm gonna be using and I'm gonna take a negative B Well, RB values negative. Eight. So negative. Negative. Eight. It's like a positive and put it over A in our values one. So our son is eight. See over a we'll see is equal to negative 12 A. Again is equal to one. It's a negative. 12 or one is negative. 12. Our product is negative. 12 are some is positive eight

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