Solve each equation in Exercises 83–108 by the method of your cho...

Question

Solve each equation in Exercises 83–108 by the method of your choice.

3x^2 - 12x + 12 = 0

Accepted Answer

Hello today we're going to be solving this equation using any preferred method. So the equation given to us is seven, X squared minus 14. X plus seven is equal to zero. Now if we take a look at the leading coefficients on the left hand side of the equation, we have 7, 14 and seven so we can factor out seven from the left hand side of the equation. Doing so is going to give me seven times X squared minus two, X plus one is equal to zero. And if I divide both sides of the equation by seven, what I am left with is x squared minus two, X plus one is equal to zero. Now we're gonna go ahead and solve this algebraic lee because x squared minus two, X plus one is a fact herbal try no meal, this try no meal is going to factor to the quantities X minus one times x minus one and these are going to be equal to zero. Now we can go ahead and apply our zero property two x minus one times x minus one. But since there are two instances of x minus one we can first combine both of these To be X -1 squared and that's going to be equal to zero. So if we take the square root of both sides of the equation, what we are left with is X -1 is equal to zero. And in order to solve for X, I'm just going to go ahead and add one to both sides of this equation and what I am left with is X is equal to one, and this is gonna be the solution to our given equation, and the answer to this problem is going to be be. So. I hope this video helps you in understanding how to solve this type of equation, and I'll go ahead and see you all in the next video.

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