I need help getting started with these equations...pretty much stuck! I need to solve for x. Thanks!
1.
$\displaystyle (x^2+4x+10)^2-7(x^2+4x+11)+7<0$
2.
$\displaystyle \sqrt{1/{x^2}-3/{4}}<1/{x}-1/{2}$
Thank you!
I need help getting started with these equations...pretty much stuck! I need to solve for x. Thanks!
1.
$\displaystyle (x^2+4x+10)^2-7(x^2+4x+11)+7<0$
2.
$\displaystyle \sqrt{1/{x^2}-3/{4}}<1/{x}-1/{2}$
Thank you!
[quote=nathan02079;258600]I need help getting started with these equations...pretty much stuck! I need to solve for x. Thanks!
1.
$\displaystyle (x^2+4x+10)^2-7(x^2+4x+11)+7<0$
First simplify:
x^4+4x^2+10^2-7x^2+28x+77+7<0
x^4-3x^2+28x+184<0
Then don't you just do it the same way you would with an equal sign only you flip the sign around, so it looks something like...
x^4-3x^2+28x>-184
...and so on dividing by 28 and then taking the square root etc.