Question

Solve:
2n(2n + 2)=10+2n (squared)

Answer 1

distribute 2n to (2n+2) first

Answer 2

I did it step by step but I didn't get the right answer surprisingly...

Answer 3

\(2n(2n + 2)=10+2n^2\) ?

Answer 4

Yes

Answer 5

What you have to do first is distribute 2n to everything in the parentheses behind it, so you would get 4n(squared) + 4n = 10 + 2n(squared).

Answer 6

Next you would subtract 2n2 from both sides so that your value of 10 is by itself..

Now you have 2n^2 + 2n = 10

Answer 7

What answer do you get?

Answer 8

\(2n(2n + 2)=10+2n^2\\4n^2 + 4n=10+2n^2\\2n^2+4n-10=0\\2(n^2+2n-5)=0\\n^2+2n-5=0\\n=-1 \pm \sqrt 6\)