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Write a quadratic equation with integer coefficients for each pair of roots.$\frac{3-2 i}{2}, \frac{3+2 i}{2}$

$4 x^{2}-12 x+13=0$

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

Campbell University

Lectures

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In mathematics, the absolu…

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Write a quadratic equation…

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Solve the equation by usin…

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were asked to create a raid. A quadratic equation using the two, um, worse that they gave us. And the tubes are three plus two I over two and three miles to eye over to. So we're just going to use the summon the product on Boom. Just have the coefficient of a B one. I'm just for his sake. So some would be three plus two. I over to, um Waas. Just use that. There are three minus two I over to, and that is gonna get us. The two eyes will cancel on three plus three is six over to six over to is the same thing as three. So our son was gonna be three, and then our product is gonna be three plus two I two times three minus two. Why, over too? That is going to give us three times three is in mine. Plus two I times three is six. I minus six. I cancels out the Mostow iron mines too. I Yes, us miners or I squared and just recall that I squared is equivalent to minus one. So the, uh, we're going to have a nine. What for? Over four, which is going to leave us with 13 over four as our products. So just writing, um, an equation with this, we have X squared. Um, are some is three plus three x, and our product is 13 over four. No, I do believe that asks us for integer coefficients The walls were going to do is multiply everything by four. So this is just going to give us for X square? Uh, plus 12 X um, most 13. And that would be Couldn't know what? Oh, um, equations are equivalent.

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