Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Completing squares
Before attempting to complete squares, let's recall the following identity
[tex](a+b)^2=a^2+2ab+b^2[/tex]the expression at the right side can be converted to the square of a binomial, provided we have the terms completed as shown
We have the equation:
[tex]x^2+10x=17[/tex]note the left side has TWO of the terms required for the square of a binomial. we only need the final number. but what number should we add?
the first term is the square of a, in this case, it's x
the second term has 10x and it should be 2ab, if we already know a=x, then
2ab=10x, then
b=10x/(2x)=5
now we know a=x and b=5, we only need to have b^2=25
that is exactly the number to add on both sides of the equation
[tex]x^2+10x+25=17+25=42[/tex]now we factor the left side:
[tex](x+5)^2=42[/tex]taking the square root, recall the square root can
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
