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.
Answer:
y = (3/2)x + 3
Step-by-step explanation:
Trust me
Answer:
Subscribe to Trickshot Cinemas on YT first. Then I'll answer the question
It's the channel with the profile pic is TC in flames
Answer:
48%
Step-by-step explanation:
Answer:
35.7 m.
Step-by-step explanation:
To find the length of string b, you have to multiply 35 by 5. You get 175, and so when it asks how much total string you need for each bottle you must add 175 and 35, which gets you 210. Then, to find how much you need in total for 17 bottles you need to multiply 210 by 17. This gets you 3570 cm, which you can convert to 35.7m.
