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Consider the equation 4x^4 - 38x^3 = 17x^2 + 30x. One of the real solutions to the equation is 10. What are the other solutions, both real and nonreal

Consider the equation 4x4 38x3 17x2 30x One of the real solutions to the equation is 10 What are the other solutions both real and nonreal class=

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Medunno13

Answer: Option (1)

Step-by-step explanation:

[tex]4x^4 -38x^3 -17x^2 -30x=0[/tex]

Dividing both sides by [tex]x-10[/tex] (10 is a root, so x-10 is a factor), yields

[tex]4x^3 +2x^2 +3x=0\\\\x(4x^2 +2x+3)=0\\\\x=0, 4x^2 +2x+3=0[/tex]

Solving the second case by the quadratic formula yields [tex]x=\frac{-1 \pm i\sqrt{11}}{4}[/tex].

So, the answer is Option (1).

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