Question

Hello! I have a question!
How does this: sqrt of (x^2-8x+16+9/16x^2)
simplify to this: sqrt of (25/16x^2-8x+16)
???
Where the heck did the 25 come from?
Thanks!

Answer 1

\[\sqrt{x^2-8x+16+(9/16)x^2} > \sqrt{(25/16)x^2-8x+16}\]

Answer 2

Just wanted to make it clearer for everyone to see. How the heck does it get from that to that???

Answer 3

x^2 + (9/16)x^2 = (16/16)x^2 + (9/16)x^2 = (16/16 + 9/16)x^2 = (25/16)x^2

Answer 4

Oh my god...thank you so much! That was so stupid of me! Thank you!