How to find the point on a parabola where x and y are equal?

1.6k Views Asked by Bumbble Comm At 23 Apr 2026 - 5:04

On a parabola how could i find the point at which the y and x points are equal and meet on a point of the graph, algebraically?

There are 3 best solutions below

Bumbble Comm On 12 Oct 2013 - 9:39 BEST ANSWER

Substitute $x$ for $y$ in the parabola equation and solve for $x$.

Bumbble Comm On 12 Oct 2013 - 9:48

Hint

In the given equation of parabola. Substitute y = x, and solve the quadratic equation for x.

Bumbble Comm On 12 Oct 2013 - 10:07

Replace x with y or y with x and solve for the unknown variable. Then, the value you get will be valid for x=y.