SOLUTION: 1. x2-2x-24 2. x2+3x-10 (two problems)x2 is little 2 after an uphigh on x.. (how to do problems) Complete the square for the following quadratic polynomials (that is, express

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1. x2-2x-24 2. x2+3x-10 (two problems)x2 is little 2 after an uphigh on x.. (how to do problems) Complete the square for the following quadratic polynomials (that is, express       Log On


   

Question 282914: 1. x2-2x-24 2. x2+3x-10 (two problems)x2 is little 2 after an uphigh on x.. (how to do problems) Complete the square for the following quadratic polynomials (that is, express in the form(x + _)2 + _ where you fill in the blanks with numbers). (x+ _)2 is little 2 after ).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to show you how to do these problems.




x%5E2-2x-24 Start with the given expression.


Take half of the x coefficient -2 to get -1. In other words, %281%2F2%29%28-2%29=-1.


Now square -1 to get 1. In other words, %28-1%29%5E2=%28-1%29%28-1%29=1


x%5E2-2x%2Bhighlight%281-1%29-24 Now add and subtract 1. Make sure to place this after the "x" term. Notice how 1-1=0. So the expression is not changed.


%28x%5E2-2x%2B1%29-1-24 Group the first three terms.


%28x-1%29%5E2-1-24 Factor x%5E2-2x%2B1 to get %28x-1%29%5E2.


%28x-1%29%5E2-25 Combine like terms.


So after completing the square, x%5E2-2x-24 transforms to %28x-1%29%5E2-25.


In other words, x%5E2-2x-24=%28x-1%29%5E2-25.