#Maths

35 messages · Page 1 of 1 (latest)

eager quiverBOT
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eager flare
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What do you need to do ?

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Partial frac decomp ?

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Oooh okay

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Did you find the poles of the fraction ?

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Okay lol

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I persevere and try solving the problem at hand.
That aside do you know how to partial frac decomp ?

night torrent
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take x common from the denom first

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then factorise like a quadratic

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do like something

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except for Caesar's Theorem

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uh

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split the middle term?

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nvm that won't work here

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you'll have to do quadratic formula

wanton root
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DO IT

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@frail tiger where exactly are you stuck?

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Use Quadratic formular to find the factors of the denominator

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GOOGLE IT THEN

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Hey

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Qudratic Formular:
$$
ax^2+bx+c=0 \implies x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}
$$

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wild ngl

deep apexBOT
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borekking

660225400835670066.png
mortal nimbus
wanton root
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@frail tiger got it done?

grand turtle
wanton root
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Yes

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Know you have to do the actual partial fraction decomposition

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I guess they want you to find $A, \ B, \ C$ such that
$$
\frac{5x-3}{x^3+ 12x^2 + 6x} = \frac{A}{x} + \frac{B}{x-\sqrt{30}+6} + \frac{C}{x+\sqrt{30}+6}
$$

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Note that
$$
x^3 + 12x^2 + 6x = x \cdot (x-\sqrt{30}+6) \cdot (x+\sqrt{30}+6)
$$

deep apexBOT
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borekking

660225400835670066.png
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borekking

660225400835670066.png
valid flame
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May I ask for help?

wanton root