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Write a quadratic equation with integer coefficients for each pair of roots.$4,7$
$x^{2}-11 x+28=0$
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
Missouri State University
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to write a quadratic equation. Knowing Route one and route to are equal to four and seven and so four plus seven is gonna equal negative be over a and four plus seven is equal to 11. Right? So how do we make this equal negative? Be over a, well, highly recommend. We just say that a equals one Our lives are gonna be so much easier for this and this equation if a equals want. And so that means our be value to satisfy this would have to be a negative 11 because the negative negative 11 gives us is possible 11 that we want. All right, so then the product, a little bit simple four times seven equals 28. And if a is one, then see is 28/1. This works so often a value of one. There's no coefficient of X squared B value of negative 11. Let me change that. Plus to a minus minus 11 x in a see value. The positive 28 set equal to zero
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