SOLUTION: Hello there, I'm trying to arrive at the correct answer of {±4,±i√3}. Any help would be great thank you. Solve and express your solution in simplified form. x^4−13x

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Question 1178897: Hello there,
I'm trying to arrive at the correct answer of {±4,±i√3}. Any help would be great thank you.

Solve and express your solution in simplified form.
x^4−13x^2−48=0

Found 3 solutions by Boreal, MathLover1, Solver92311:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Treat this like a quadratic, since the first term is a power of 4, the middle term a power of 2 and the last term a constant.
(x^2-16)(x^2+3)=0
x=+/-4 and +/- i sqrt(3)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

...factor
,,,group






solutions:
if =>
if =>
if =>=> => or
so, we have:
Real solutions:


Complex solutions:




Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!


Let , then is equivalent to

Use the quadratic formula to solve for the two values of . Then solve for each value of giving you four distinct roots as is expected from a quartic equation. Hint:

John

My calculator said it, I believe it, that settles it

From
I > Ø

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