Find all real solutions of the equation, rounded to two decimals. x^{4}-8x^{2}+2=0

CheemnCatelvew 2021-06-11 Answered
Find all real solutions of the equation, rounded to two decimals.
x48x2+2=0
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coffentw
Answered 2021-06-12 Author has 103 answers

Step 1
To find: all real solutions of the equation, rounded to two decimals.
x48x2+2=0
Let x2=y

Step 2
x48x2+2=0
if x2=y, then
y28y+2=0
(y4)216+2=0
(y4)2=14
 y±14
therefore, y=x2=4±14 x=±(4±14) are the real solutions
and the solutions are x=4+14=2.78,
x=414=0.51,
x=4+14=2.78, and
x=414=0.51

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