coreyhough58 coreyhough58
  • 10-05-2020
  • Mathematics
contestada

Find all roots. Name the type of roots and how many.
x^4 + 5x^2 - 36=0

Respuesta :

osikbro
osikbro osikbro
  • 10-05-2020

Answer:

2 and 3i

Step-by-step explanation:

Let's find the answer to this problem using something called u-substitution. This means that we can replace x^2 with some variable u, and rewrite the equation:

[tex]u^2+5u-36=0[/tex]

Now this is a typical quadratic equation that you know how to solve:

[tex](u-4)(u+9)=0[/tex]

[tex]u=4,-9[/tex]

[tex]x^2=4,-9[/tex]

This problem has two roots, [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{-9}=3i[/tex] (not sure if you guys are allowed to use imaginary numbers yet). Hope this helps!

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