The graph drawn shows a curve produced based on a quadratic equation.
With the curve in mind, how many answers do you think there will be for a pair of simultaneous equations where one is a quadratic equation and the other is a linear equation?
I think there would be two answers as the curves goes up and then goes down. It would be impossible for a straight line to intersect only once with the curve.
It depends. Considering the curve shown above:- There is only 1 solution if the linear equation is a tangent to the quadratic function or its gradient is undefined. Or else, it will have 2 solutions;assuming the linear equation does intersect(s) the quadratic function
Three? I am not sure.
ReplyDeletei don't know this one.
ReplyDeleteI think there would be two answers as the curves goes up and then goes down. It would be impossible for a straight line to intersect only once with the curve.
ReplyDeletehaha dunno.
ReplyDeletenvr do before XD
There is a reason why the heading is 'extend your learning'- have not been taught but challenge yourself!
ReplyDeleteA quadratic equation has two solutions whereas a linear equation has one solution. Therefore, I think there will be three solutions or answers.
ReplyDeleteIt depends. Considering the curve shown above:-
ReplyDeleteThere is only 1 solution if the linear equation is a tangent to the quadratic function or its gradient is undefined.
Or else, it will have 2 solutions;assuming the linear equation does intersect(s) the quadratic function