Question

y=x^2+1
y=x+1
Help please

Answer 1

Find the point where the two graphs intersect?
If so set x^2 + 1 = x + 1 and solve for x. Then put that x value in the second equation and find y.

Answer 2

yes it to find the point but i don't understand how to do the math. I can put in a graphing calculator but i need to under stand how to do it without the calculator

Answer 3

x^2 + 1 = x + 1
subtract 1 from both sides:
x^2 = x
subtract x from both sides:
x^2 - x = 0
factor out x
x(x - 1) = 0
either x = 0 or x = 1
Put x = 0, in second equation: y = x + 1 = 0 + 1 = 1.
So (0,1) is one point of intersection.

Put x = 1, in second equation: y = x + 1 = 1 + 1 = 2.
So (1,2) is the second point of intersection.

Answer 4

thanks i'll try this model on my other questions.

Answer 5

you are welcome.