We need to solve this equation: x^{4} - x^{3} + 4x^{2} - 16x - 192 =0

Zoe Oneal

Zoe Oneal

Answered question


We need to solve this equation:

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2020-12-14Added 109 answers

Use the rational root theorem, a0=192 and
The divider of a0is1,2,3,4,6,8,12,16,24,32,48,96,192.
Rational Zero =±1,2,3,4,6,8,12,16,24,32,48,96,1921
The root of the equation is - 3 by trial and error method then, the factor is x+3. Now, divide the provided equation with calculated factor.
Now, further factorize the above equation.
Answer: Therefore, the real solution of the provided equation is x=3,4.

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