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fenix001 [56]
3 years ago
7

What are the solutions of the equation x4 – 5x2 – 36 = 0? use factoring to solve.

Mathematics
2 answers:
Paul [167]3 years ago
8 0
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0  - factor the left side
(x + 3)(x - 3)(x^2 + 4) = 0 - factor (x^2 - 9 as difference of squares)
x + 3 = 0    x - 3 = 0    x^2 + 4 = 0  Set each factor to 0 if any 0 the left side 0
x = -3         x = 3         x^2 = -4
                                   x = 2i or -2i
The roots are 3, -3, 2i, -2i  (Don't know if you need the imaginary roots but I gave you them anyway)
Dmitry [639]3 years ago
8 0
Well if the equation looks like this x^{4} -5 x^{2}-36=0 then you would have four quite long answers.
x=
2.98707487
-2.98707487
1.98055958i
-1.98055958i

The last two have and i at the end for imaginary. Those four numbers would be your answer.
Hope this helps! Don't forget Brainliest! :)
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