If you know that , then you know right away
###
Otherwise, you can derive the same result. Let , so that
.
is bounded, so we know
. For these values of
, we always have
.
So, recalling the Pythagorean theorem, we find
Then
as expected.
Answer:
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
Step-by-step explanation:
Consider, the given Quadratic equation,
This can be written as ,
We have to solve using quadratic formula,
For a given quadratic equation we can find roots using,
...........(1)
Where, is the discriminant.
Here, a = 1 , b = -6 , c = 4
Substitute in (1) , we get,
and
We know (approx)
Substitute, we get,
(approx) and
(approx)
(approx) and
(approx)
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .