At what value(s) of x does the graph of f (x) = x^2 - 14 intersect the graph g (x) = 4x?

Question

you have to figure out where the two equations on a graph.

Answer 1

At any point of intersection you have f(x) = g(x).

 

Thus you have

 

x² - 14 = 4x

 

x² - 4x + 4 = 18

 

(x - 2)² = 18

 

x - 2 = ±√18 = ±3√2

 

x = 2 ± 3√2