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Dennis_Churaev [7]
3 years ago
10

How do you think multiplication of positive and negative integers is related to multiplication with positive and negative fracti

ons?
Answer in 2 complete sentences.
Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

Multiplication of positive and negative integers is related to multiplication with positive and negative fractions through the multiplication rule for integers. If you multiply a two fractions with same signs, they would result in positive; in the other hand, if you multiply two signs with different sign, it would result to a negative integer.

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We have that
x_{1} - x_{2} = 6
Let y be the first root, then y - 6 will be the second one. Since both roots make the quadratic equation equal to 0, we have that:
y^{2}  + y + c =  (y - 6)^{2}  + (y - 6) +c
Solve for y:
y^{2} +y +c = y^{2} - 12y + 36 + y - 6 +c \\ y + 12y - y = 30 \\ y =  \frac{5}{2}
Plug in y = 5/2 into original quadratic equation and solve for c:
(  \frac{5}{2}) ^{2} +  \frac{5}{2}  +c = 0 \\  c= - \frac{5}{2}  -  \frac{25}{4}  \\ c = - \frac{35}{4}
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