solve using quadratic formula
a^/(x-a)cube + 2a/(x-a)^ = 1/x - a
WILL FAN AND GIVE MEDAL
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OpenStudy (anonymous):
@johnweldon1993
OpenStudy (anonymous):
Would you mind giving the equation in a better form?
it's a bit hard to understand.
OpenStudy (anonymous):
wait a minute
OpenStudy (anonymous):
a²/(x-a)³ + 2a/(x-a)² + 1/x -a
OpenStudy (anonymous):
@Aditi_Singh
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OpenStudy (anonymous):
don not use the quadratic formula
OpenStudy (anonymous):
just solve and explain it to me
OpenStudy (anonymous):
Erm, You mean = 1/x-a.. na?
OpenStudy (anonymous):
only for the last part
OpenStudy (anonymous):
\[\frac{a^2}{(x−a)^3}+\frac{2a}{(x−a)^2}=\frac{1}{x−a}\]
For this equation I get the solution as : 2a ± √2a
Let me know if the answer is correct so that I could explain you..
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Parth (parthkohli):
Take \(\dfrac{1}{x-a} = k\) then solve the quadratic equation in variable \(a\).
OpenStudy (anonymous):
@Aditi_Singh its + 1
OpenStudy (anonymous):
i mean its not = to 1/x -a but its + 1/x-a
Parth (parthkohli):
\[k^3 a^2 + 2k^2a + k=0\]Cancel \(k\) from both sides.\[k^2 a^2 + 2ka + 1=0\]By the quadratic formula\[a =\dfrac{-2k \pm\sqrt{4k^2 - 4k^2}}{2k^2} \]\[\Rightarrow a = \dfrac{-1}{(x-a)}\]