Question

Find the common roots of the equations \[ \begin{array}{l} x^{4}+5 x^{3}-22 x^{2}-50 x+132=0 \\ x^{4}+x^{3}-20 x^{2}+16 x+24=0 \end{array} \] Hence solve them completely.

          Find the common roots of the equations
\[
\begin{array}{l}
x^{4}+5 x^{3}-22 x^{2}-50 x+132=0 \\
x^{4}+x^{3}-20 x^{2}+16 x+24=0
\end{array}
\]

Hence solve them completely.

Find the common roots of the equations

x^4+5 x^3-22 x^2-50 x+132=0

x^4+x^3-20 x^2+16 x+24=0

Hence solve them completely.

Added by Lisa B.

College Algebra

Michael Sullivan 10th Edition

Chapter 1

Instant Answer

Solved by Expert Manisha Sarker

Step 1

Step 1: Let the equations be \( f(x) = x^4 + 5x^3 - 22x^2 - 50x + 132 = 0 \) and \( g(x) = x^4 + x^3 - 20x^2 + 16x + 24 = 0 \). Show more…

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Find the common roots of the equations \[ \begin{array}{l} x^{4}+5 x^{3}-22 x^{2}-50 x+132=0 \\ x^{4}+x^{3}-20 x^{2}+16 x+24=0 \end{array} \] Hence solve them completely.