Question

Find the values of x for which f(x)=g(x). f(x)=x^2, g(x)=x+2

Answer 1

f(x) = g(x)

Input the algrebra of f(x) and g(x)
x² = x + 2

Put the algebra to the same side
x² - x + 2 = 0

Factorize them
(x - 2)(x + 1) = 0
x = 2 or x = -1

There are two possibilities of x, 2 or -1