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.

9 - 6x + x^2 = 0

Accepted Answer

Hello. Today we're going to be solving the given equation. So the equation given to us is 49 minus 28 X plus four X squared is equal to zero. Now before I go ahead and solve this I'm just gonna go ahead and reorder these terms with respect to powers. So this is going to be four X squared minus X plus 49 is equal to zero. Now we're gonna go ahead and solve this algebraic lee because this try no meal is a fact herbal trin Amiel. This try no meal can factor to the quantities two x minus seven times two x minus seven. And that's going to be equal to zero. Now since we have two instances of two x minus seven we can go ahead and represent that as two x minus seven squared and that's going to be equal to zero. Now in order to sulfur X. I'm going to need to get rid of the square term here and to do that I can take the square root of both sides of the equation. Doing so is going to give me two X minus seven is equal to zero. Now what I'm gonna do is I'm gonna go ahead and add seven to both sides of the equation and that's going to give me two X is equal to seven. And finally in order to solve for X, I divide both sides of the equation by two and X is going to equal to 7/2. And this is gonna be the solution to our given equation and the answer to this problem is going to be C. 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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