Posted by John on .
Consider the equation x^2 + 20 = 12x
A) draw geometric diagram representing this equation.
B) Show how to complete the square geometrically.
C) Solve the equation.
We can't draw graphs for you here. That is something you shood be able to do on your own, anyway.
Rewrite the equation as x^2 -12x +20 = 0
A perfect square that includes the first two terms would be
(x-6)^2 = x^2 -12+ 36
Therefore you can rewrite the original equation as
(x-6)^2 -36+20 = 0
(x-6)^2 = 16
x-6 = +/-4
x = 2 or 10