The Discriminant - Example 3
Adding Subtracting And Multiplying Complex Numbers - Example 4
Complexand Imaginary Numbers - Example 4
Dividing Complex Numbers - Example 4
Findteh Minimumor Maximum Values - Example 4
Liberty University
Solving Quadratic Equationsby Completingthe Square - Example 3


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then by completing the square. Now it's a complete the square. We want to get it towards only two terms on the left side. So let's go ahead and subtract 36 on both sides. So I have X squared minus 12. X will equal negative. Nah, it's our negative 11. So now let's look or eight or be term is negative. 12. So negative. 12 alibis to is negative. Six and negative. Six squared is positive. 36. So we're gonna add 36 to both sides. So we have X square minus 12 X plus 36 will equal negative 11 plus 36. And to simplify that, that's X squared minus 12 X plus 36 will equal 25 so we can find the square the square root of 36 iss six. So that's gonna mean we're gonna have X minus six because our 12 is negative. This is gonna be negative. Six square equals 25. So this is what we're gonna use to solve this quadratic equation. So X minus six squared equals 25. We need to find the square root of both of these. So square root of X minus six squared is X minus six and square root of 25 is plus or minus bob. So once when I equal positive five, the other one is not equal. Negative. Five. So we'll saw by adding six so eggs can equal 11 and add six. X can equal one, so my solutions are one 11.