Answer:
x= - 3 and y= - 7
Step-by-step explanation:
To find the common difference in the sequence 8, 16, 24, 32.... we must find what the difference between two consecutive terms is. A simple way to do this is to find the difference between the first term and the second term. That means that we have to do the second term - the first term. That means we do 16 - 8 which gives us that the common difference is 8.
Answer:
im just commenting to get points
Step-by-step explanation:
Answer:
Step-by-step explanation:
im not a spoiler
9514 1404 393
Eexplanation:
16. Suppose the roots are α and kα. Then we can write the equation as ...
a(x -α)(x -kα) = 0
ax² -ax(α +kα) +akα² = 0
Comparing to the original equation, we can equate coefficients to get ...
Solving the first for α gives ...
α = -b/(a(1+k)
Substituting into the second, we have ...
c = ak(-b/(a(1+k)))²
Multiplying by a(1+k)², we get ...
(1+k)²ac = kb²
Using k=2 gives ...
9ac = 2b² . . . . . as required
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17. Using the previous result with k=1 (equal roots), we have ...
(1+k)²ac = kb²
4ac = b² . . . . . for k=1
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<em>Additional comment</em>
We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.
