Find the two points lying on the straight line , where the -coordinate is twice the square of its -coordinate, rounding the result to the nearest two decimal places.
If the coordinate is twice the square of the -coordinate,
Substituting this expression for into the equation of the
straight line gives
Rearranging the equation so that it is equal to 0 and has a
positive coefficient of gives
This equation can be solved by factorisation.
Now substitute each value of into the equation of the straight
Therefore, the two points that lie on the given straight line and
satisfy the given conditions are and .