Given
This can be rewritten as follows:
Notice that this is a quadratic equation of the form:
,
with the solution given by:
where:
Thus,
Now consider
This gives a real solution if and only if
i.e.
Thus,
when x = -1
Thus, the equation has real solutions only when x = -1 at which the value of y is given by
Therefore, the <span>real point satisfying
</span>
is x = -1, y = 1
This can be rewritten as follows:
Notice that this is a quadratic equation of the form:
with the solution given by:
where:
Thus,
Now consider
This gives a real solution if and only if
i.e.
Thus,
when x = -1
Thus, the equation has real solutions only when x = -1 at which the value of y is given by
Therefore, the <span>real point satisfying
</span>
is x = -1, y = 1