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STEP III 1990 question 1 solution
From The Student RoomTSR Wiki > Study Help > Subjects and Revision > Mathematics > STEP > STEP III 1990 question 1 solution By expanding
Where s = Dividing by
Where By expanding the brackets, we see this is equivalent to The roots of this equation are given by the roots of the numerator. The roots are Since This is because, for example So Setting
Solution by Dystopia. |











and dividing the imaginary part by the real part you get:
, c =
.
, you get:
.
.
.
and using the difference of two squares along with the known values for
, we get the roots as
.
.
can be factorised into
. Examining the constant on both we get
.
, we also have:
.




