Question
4x^2+12 = 0
I factored this out, but how do I show the final answer? Thanks!
4(x^2+3)
I factored this out, but how do I show the final answer? Thanks!
4(x^2+3)
Answers
MathMate
4(x<sup>2</sup>+3)=0
x<sup>2</sup>=-3
x=sqrt(-3)
=±(sqrt(3)*i)
where i<sup>2</sup>=-1
The roots are therefore complex.
x<sup>2</sup>=-3
x=sqrt(-3)
=±(sqrt(3)*i)
where i<sup>2</sup>=-1
The roots are therefore complex.
Gertrude
Would iroot3 and -iroot3 be acceptable answers? Thanks!
MathMate
Yes, they are acceptable answers.
When in doubt (as in an exam), the best way to check an answer is to square your proposed roots and see if you get back -3.
When in doubt (as in an exam), the best way to check an answer is to square your proposed roots and see if you get back -3.
Gertrude
Thanks for the help!