SOLUTION: How do i find out the answer to out it on the graph?

Algebra ->  Linear-equations -> SOLUTION: How do i find out the answer to out it on the graph?      Log On


   

Question 49357This question is from textbook mathematics 3
: How do i find out the answer to out it on the graph? This question is from textbook mathematics 3

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
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%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-1%2Cx%5E2%29
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%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx+%2B+1%2Cx%5E2+%2B+1%29
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%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx+-+3.141592653%2Csin%28x%29%29
Intersect: P(pi,0)
x-value of point: pi
Answer: x = pi