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Write a quadratic equation with integer coefficients for each pair of roots.$\frac{3}{4},-\frac{3}{8}$

$32 x^{2}-12 x-9=0$

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

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

Write a quadratic equation…

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Solve each equation. State…

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tests with taking the roots minus 3/8 and 3/4 on creating a 100 equation with these roots. So we're just going to let X equal 3/4 on X equal minus 3/8 and we're gonna go from there. So just working backwards here, we're going to rerun each of the equations with 01 side. So just taking that we have X buying his 3/4 equal zero and X uh lost 3/8 people zero. And then the last thing we have to do is just multiply each of these L So we have X buying his 3/4. Thanks, Waas 3/8 and I'm gonna move over to the other side that is X square minus 3/4 backs. Uh, plus 3/8 X Uh, by this what would that be? Three times three is nine over 32. So after this, we just left too. Um, take what we're given and multiply it out. Alright? Simplified. Moving back over here. We have asked where we will have, um, minus 3/8 X minus nine over 32 on. Then the last thing we were asked to keep it as insecure coefficient. So, in order to do that for Just recovered the nominated by multiplying 32 across the board. Uh, so we have 32 x squared, um, minus well, X and mine is night.

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