Question
(a) Compute the discriminant of the quadratic and note that it is negative (and therefore the equation has no real-number roots).(b) Use the quadratic formula to obtain the two complexconjugate roots of each equation.$$x^{2}-x+1=0$$
Step 1
The discriminant is given by the formula $D = b^{2} - 4ac$, where $a$, $b$, and $c$ are the coefficients of the quadratic equation $ax^{2} + bx + c = 0$. In this case, $a = 1$, $b = -1$, and $c = 1$. Show more…
Show all steps
Your feedback will help us improve your experience
Rakesh Kumar Sharma and 83 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
(a) Compute the discriminant of the quadratic and note that it is negative (and therefore the equation has no real-number roots). (b) Use the quadratic formula to obtain the two complexconjugate roots of each equation. $$x^{2}-6 x+12=0$$
Roots of Polynomial Equations
The Complex Number System
Find a quadratic equation whose two distinct real roots are the negatives of the two distinct real roots of the equation $a x^{2}+b x+c=0$
Equations and Inequalities
QUADRATIC EQUATIONS
Find a quadratic equation whose two distinct real roots are the negatives of the two distinct real roots of the equation $a x^{2}+b x+c=0$.
Review: Equations and Inequalities
Quadratic Equations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
