quad sums -- part 3

3 > How many quadratic eqn. are possible such that it remains unchanged even after its roots are

squared ?

( this is one of my favourite questions ever !!!!!!!!!! )

2 Answers

1
akari ·

all values for which b(b+1)=2
i.e -2,1
and c=1
a,b,c are usual coefficients of quadratic.

i did by squaring function
ax+c=-b√x
and compared coefficients with thw original quadrativ
ax2+bx+c=0
so we get 1=1 c=1

so its is obvius that
(x-1)2=0
has roots 1,1 and also square is 1,1
for the value
1
we get
(x-w)(x-w2)
this is also obvious
roots are
w,w2
and
w2,(w4=1.w)
hope ur question is solved

341
Hari Shankar ·

also, x2=0, x2-x=0

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