Question
In Exercises $1-16,$ an equation is given, followed by one or more roots of the equation. In each case, determine the remaining roots.$$x^{2}-14 x+53=0 ; x=7-2 i$$
Step 1
The roots of such an equation are given by the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Show more…
Show all steps
Your feedback will help us improve your experience
Rakesh Kumar Sharma and 101 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises $1-16,$ an equation is given, followed by one or more roots of the equation. In each case, determine the remaining roots. $$2 x^{4}-17 x^{3}+137 x^{2}-57 x-65=0 ; x=4-7 i$$
Roots of Polynomial Equations
Conjugate Roots and Descartes' Rule of Signs
In Exercises $1-16,$ an equation is given, followed by one or more roots of the equation. In each case, determine the remaining roots. $$4 x^{3}-47 x^{2}+232 x+61=0 ; x=6-5 i$$
In Exercises $1-16,$ an equation is given, followed by one or more roots of the equation. In each case, determine the remaining roots. $$x^{4}-22 x^{3}+140 x^{2}-128 x-416=0 ; x=10+2 i$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD