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12.If a2-3a+1=0 and a≠0; find:

(i) 𝒂 + 1/a

\text { (ii) } \quad a^{2}+\frac{1}{a^{2}}

Answer:

(i)

(ii)

"hello student welcome to leader learning
question answer video solutions
my name is beljut gore and i'm your
mathematics tutor
so today's problem is if a square minus
3 a plus 1 is equals to 0
and a is not equals to 0 find the value
of
a plus 1 by 8 so students if you have
remember
we have done similar kind of these
problems so let's get started guys
so the equation is a square minus 3a
plus 1 is equals to 0. now there is no
way i can find a plus 1 by a
like this so let me do one thing let me
rearrange this
so if i rearrange it in the form of like
this
so i will get this equation now what i'm
going to do is i'm going to divide the
whole equation
i'm going to divide the whole equation
by
a so i will get a
plus 1 by a which is equals to
3 so i will have this equation
like this now see guys we have
a plus 1 by equals to 3 now that's the
value we needed to find
simple now let's come to the
next part the next part is a square plus
1 by
a square now guys what i can do is
if i go back to the previous question a
plus 1 by a
if i square it so if i square it
so i will have a
plus 1 by a whole square
which can be written as a square plus 1
by a square
plus 2 and a and 1 by a will get
cancelled by each other
we have a square plus 1 by a square
now what i'm going to do is i'm going to
write this part as a square
plus 1 by a square only i'm going to
write this 2 as
a only now guys if you have remember
a plus 1 by is 3 so 3 square is
9 so 9 minus 2 is equals to a square
plus 1 by a square
which is 7. now that's the answer to the
problem
thank you so much for watching the video
kids if you have any questions
any queries please drop down in the
comment section
for more fun videos subscribe to leader
have a wonderful day kids
"

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