SOLUTION: Again.. Not sure if this is the right category.. Simplify all square roots and answers should not be Finals Factor or solve the following 2x⁴-7x²-4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Again.. Not sure if this is the right category.. Simplify all square roots and answers should not be Finals Factor or solve the following 2x⁴-7x²-4      Log On


   

Question 1174689: Again.. Not sure if this is the right category..
Simplify all square roots and answers should not be Finals
Factor or solve the following
2x⁴-7x²-4
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E4-7x%5E2-4=+0
2x%5E4%2Bx%5E2-8x%5E2-4=+0
%282x%5E4%2Bx%5E2%29-%288x%5E2%2B4%29=+0
x%5E2%282x%5E2%2B1%29-4%282x%5E2%2B1%29=+0
%28x%5E2-4%29+%282x%5E2+%2B+1%29+=+0
%28x+-+2%29+%28x+%2B+2%29+%282x%5E2+%2B+1%29+=+0

if%28x+-+2%29+=+0=> x=2
if
+%28x+%2B+2%29+=+0=> x=-2
if +%282x%5E2+%2B+1%29+=+0=> +2x%5E2+=-+1=> +x%5E2+=-+1%2F2=> +x+=sqrt%28-+1%2F2%29
=> +x+=i%2Asqrt%281%2F2%29or +x+=-i%2Asqrt%28+1%2F2%29
=> +x+=i%2Fsqrt%282%29or +x+=-i%2Fsqrt%28+2%29
real roots:
x=2
x=-2
complex roots:
+x+=i%2Fsqrt%282%29
+x+=-i%2Fsqrt%28+2%29

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Surely, it goes to wrong category.


May I ask you to omit this your mantra about a "category" : it really irritates when you repeat it every time . . .


Thank you.