Bellaheyitsme Bellaheyitsme
  • 21-07-2022
  • Mathematics
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What are the solutions of the equation x^4 - 7x^3 + 23x^3 - 29x - 60 = 0 are shown. What are the nonreal solutions to the equation?

What are the solutions of the equation x4 7x3 23x3 29x 60 0 are shown What are the nonreal solutions to the equation class=

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evgeniylevi
evgeniylevi evgeniylevi
  • 21-07-2022

Answer:

A.

Step-by-step explanation:

1) according to the given graph, the real roots are: -1 and 4, it means the given expression can be evaluated using (x+1)(x-4)=x²-3x-4.

2) if to divide the given expression by (x²-3x-4), then

x⁴-7x³+23x²-29x-60=(x²-3x-4)(x²-4x-15), where

3) x=-1;4 - real roots, and

[tex]x=2^+_-i\sqrt{11} \ -nonreal \ roots.[/tex]

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