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February 1, 2015

February 1, 2015

Posted by **isha** on Thursday, February 12, 2009 at 9:09pm.

- math -
**Reiny**, Thursday, February 12, 2009 at 10:53pmthe sum of the roots of the original is 3/2

the product of the roots is -2

so a+b = 3/2

ab = -2

sum of new roots = 1/a + 1/b = (a+b)/(ab)

= (3/2) / -2 = -3/4

product of new roots - (1/a)(1/b) = 1/(ab) = -1/2

so the new equation is

x^2 + (3/4)x - 1/2 = 0 or

4x^2 + 3x - 2 = 0

based on the theorem that for

ax^2 + bx + c = 0

the sum of the roots is -b/a and

the product of the roots is c/a

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