The Discriminant - Example 1
Adding Subtracting And Multiplying Complex Numbers - Example 2
Complexand Imaginary Numbers - Example 2
Dividing Complex Numbers - Example 2
Findteh Minimumor Maximum Values - Example 2
Liberty University
Solving Quadratic Equationsby Completingthe Square - Example 1


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Let's complete the square and solve the equation. Two X squared minus five X plus three. Now, because our A term is greater than 01 we need to kind of move it. So we're gonna do for completing the square is we're going to divide every term by that a term. So that means we're gonna divide everything by two. And so when I do that will cancel out and leave me with X squared minus 5/2 X plus three halfs equal zero. And we need to go ahead, and we need to move our three halves over to the right side. So we have X squared minus 5/2 X equals negative three halfs. So we have X squared. My minus five have sex equals negative three halfs. So our step one for completing the square is RB term, which is negative five halfs. We need to divide that by two. And when I do, I'm gonna get negative five force. Our second step is we're going to square that so negative 5/4 squared would be 25/16. So we're gonna add that to both sides. So we haven't x square minus 5/2 X plus 25 over 16 will equal negative three halves, plus 25 6 tanks. So let's go ahead, and we can go ahead and we can't find the square root of that. So that's going to be go and solve. So we have eggs would equal. So let's say square root of X is X or square root of X squared. X. So square root of 25/16 is plus are modest five of five force. And if I had provide negative five halves times two, I'm gonna get negative 54 so it's X over five force will equal negative three halves plus 25 16th equals 16 tanks, so it's neg X minus 54 squares equals 16 tanks. So that means that the square root of each of those would be X minus 5/4, and the square root of 1/16 is plus or minus 1/4 so that would equal 1/4 and X minus. 5/4 would equal negative 14 So we're gonna solve for both, so we'll add five force. So that means that X, what equal six force or three halves and then we'd add five force here. In this case, X would equal four force or once or solution would be three halves and one.

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