Hi there,
Can someone please show me how to solve the following equation:
5^x + 25^(2x) = 150
Any help will be greatly appreciated,
Cheers
Hmm, just check that you didn't make a typo somewhere, it does look a bit like a hard equation for pre-algebra i would say.
$\displaystyle 5^x + 25^{2x} = 150$
$\displaystyle 5^x + 5^{4x} = 150$
$\displaystyle Set \ 5^x = k$
$\displaystyle k + k^4 = 150$
$\displaystyle k^4 + k - 150 = 0$
I quickly solved it by drawing a graph (See the attached image)
And it seems the answers are -3,54 and 3.46