SOLUTION: I am confused on how to solve this equation using the ac method. my equation is h^2-9hs+9s^2 Please show me all steps in this process.

Question 895805: I am confused on how to solve this equation using the ac method. my equation is h^2-9hs+9s^2 Please show me all steps in this process.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have a right to be confused since the equation, as you stated it, can't be factored by using any factoring method other than completing the square method or by use of the quadratic formula.

the equation, as you stated it, is:

h^2 - 9hs + 9s^2

if it were h^2 - 6hs + 9s^2, then it could be factored and the solution would be (x-3h) * (x-3h), or (x-3h)^2

but it's not h^2 - 6hs + 9s^2.

it's h^2 - 9hs + 9s^2.

the solution to that equation is found by either completing the square or using the quadratic formula.

without getting into the details, the solution is:

x = 9*s/2 plus or minus s*sqrt(45)/2

the solution is not rational which means you couldn't have found it by using any factoring method other than completing the square or the use of the quadratic formula.

this was found using the quadratic formula.

since you asked about solving thorugh the use of the ac method, here's a link that describes the ac method.

http://www.regentsprep.org/Regents/math/algtrig/ATV1/Ltri3.htm

to understand the method, use the example provided.

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