How do you solve 9a=-a²-18?

1 Answer
May 29, 2016

a=-3, and a=-6.

Explanation:

Start bringing everything on the same side changing the sing when you "jump" the = symbol.

a^2+9a+18=0

Now you can use the formula for the second order equation

a=(-9\pmsqrt(81-4*18))/2=(-9\pmsqrt(9))/2=(-9\pm3)/2.
The solution with the + is
a=-3
and the solution with the - is
a=-6.