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and 
.
.
and 
.
.
lies on a parabola. Find the equation of the parabola and calculate the distance between the point P and the focal point. Also, draw the graph of the parabola.
and the sum is 
.
if its zeros are given 
and 
, determine the real number m so that the sum of the solutions of the equation is equal to 
.
is given, where m is any real number. For which value of m will the solutions of the equation be additive inverse of each other?
have two different real solutions?
have real solutions?
have no real solutions?
have only one solution?
have a double solution?
,for what real number a will the roots of the equation, 
and 
, have the relation, 
?
without solving the quadratic equation.
and 
and the y-axis at point 
.
is given, where m is any real number. For what value of m will the roots of the equation be multiplicative inverse of the other.
and 
and a value of 
at 
.
and - 3, and passes through the point 
.
and a value of 
at 
.
, one of the zeros 
and an extreme value at 
.
runs through the points 
, 
and 
. Calculate the values of 
, 
and 
and write down the rule of the function f(x).
and 
and 
and 
.
and 
.
be equal to 8.
be equal to half of the other solution .
is 1.
and 
of the equation 
suffice if 
is true.
find k such that the sum of the solutions of 
and 
of the equation 
is equal to 
.
and 
, and has a value of 
at point 
.
and 
as zeros, and its graph goes through the point 
.
and 
, and its graph intersects the ordinate axis at 
.
.
and write down the exact solution. For which numbers a does the above equation have two different real solutions?
, show that the solution will be rational numbers:
