Question
Find a quadratic equation whose two distinct real roots are the negatives of the two distinct real roots of the equation $a x^{2}+b x+c=0$
Step 1
According to Vieta's formulas, we know that the sum of the roots is $-b/a$ and the product of the roots is $c/a$. Show more…
Show all steps
Your feedback will help us improve your experience
Aman Gupta and 68 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
Find a quadratic equation whose two distinct real roots are the reciprocals of the two distinct real roots of the equation $a x^{2}+b x+c=0$.
Review: Equations and Inequalities
Quadratic Equations
Find a quadratic equation whose two distinct real roots are the reciprocals of the two distinct real roots of the cquation $a x^{2}+b x+c=0$
Equations and Inequalities
QUADRATIC EQUATIONS
Find the quadratic equation whose roots are reciprocal of the roots of the equation $a x^{2}+b x+c=0$.
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD