Factor and solve 49x^2100=0 Please help!
Mathematics
BookWorm01
Question
Factor and solve 49x^2100=0
Please help!
Please help!
2 Answer

1. User Answers Anonym
for this you can use the difference of two squares
the square root of 49 is 7. the square root of 100 is 10.
so.....
(7x + 10)(7x  10)
hope this helps :) 
2. User Answers Apocrophon
This problem is a differenceoftwosquares problem, as shown by the squared first term, the missing middle term, and the negative square as the last term.
You solve this by finding the square roots of both terms and use those to find the roots.
[tex]49x^{2}100=0\\\\ \sqrt{49x^{2}}=(+)~7x\\ \sqrt{100}=(+)~10\\\\ (7x+(+10))(7x+(10))=0\\ (7x+10)(7x10)=0\\\\ 7x+10=0\\ 7x=10\\ x=\frac{10}{7}\\\\ 7x10=0\\ 7x=10\\ x=\frac{10}{7}\\\\ Thus,~x=\frac{10}{7} ~and~x=\frac{10}{7}[/tex]