Posted by **John** on Thursday, April 10, 2008 at 1:57pm.

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.

- Math -
**drwls**, Thursday, April 10, 2008 at 7:28pm
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

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