Homework Help: math

Posted by julissa on Tuesday, February 3, 2009 at 10:15pm.

Write a quadratic equation having the given number as solutions:

c/2 and d/2

math - julissa, Tuesday, February 3, 2009 at 10:15pm
please help me solve
math - Reiny, Tuesday, February 3, 2009 at 10:28pm
I will use x as my variable

if x = c/2 then 2x-c = 0
if x = d/2 then 2x-d = 0

your quadratic equation would be
(2x-c)(2x-d) = 0

expand it to get it into general form

OR

sum of roots = c/2 + d/2 = (c+d)/2
product of roots = cd/4

equation: x^2 - (c+d)/2 x + cd/4 = 0 or
4x^2 - (c+d)x + cd = 0
CORRECTION math - Reiny, Tuesday, February 3, 2009 at 10:30pm
last line should read:
4x^2 - 2(c+d)x + cd = 0

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