#Algebra Help :>

8 messages · Page 1 of 1 (latest)

modest sapphire
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My mind just goes blank when I look at the question. Im trying to get better at algebra but it feels so overwhelming and impossible.

cedar boltBOT
deft nymph
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Nice and clean

modest sapphire
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thankyousomuch

modest sapphire
spring forge
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There is a faster solution.

For any equation $Ax^2 + Bx + C = 0$ with roots at $x=\alpha$ and $x=\beta$,

the sum of the roots / solutions is $\alpha + \beta = -\frac{B}{A}$.

Since you are given the sum $\alpha + \beta = k(4a + b)$, you can form an equation:

$\alpha + \beta = k(4a + b) = -\frac{-(16a + 4b)}{64}$

$\implies \quad k = \frac{4(4a + b)}{64(4a + b)} = \frac{1}{16}$