Question 49357
I do not quite understand what you are asking, but I will guess this: how do I find answers by graphing? Simple, graph each side of the equation and at the x-value of the ordered pair where the graphed lines meet is your answer.
Ex.) x^2 - 1 = x^2
Red Line: x^2 - 1 = y
Green Line: x^2 = y
{{{graph(300,300,-5,5,-5,5,x^2-1,x^2)}}}
Since they never meet, there is no solution.
Ex.) x + 1 = x^2 + 1
Red Line: x + 1 = y
Green Line: x^2 + 1 = y
{{{graph(300,300,-5,5,-5,5,x + 1,x^2 + 1)}}}
Intersect: P(0,1) and P(1,2)
x-values of points: 0 and 1
Answers: x = 0 and x = 1
Ex.) x - {{{pi}}} = sin(x)
Red Line: x - {{{pi}}} = y
Green Line: sin(x) = y
{{{graph(300,300,-5,5,-5,5,x - 3.141592653,sin(x))}}}
Intersect: P({{{pi}}},0)
x-value of point: {{{pi}}}
Answer: x = {{{pi}}}