The two roots of x² - 5x + k = 0 differ by exactly 1… | StemPy Lab

Help Contact For teachers and institutes

Mock Tests Classes Groups

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Dashboard
My Content
Profile
Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

The two roots of x² - 5x + k = 0 differ by exactly 1… | StemPy Lab

Quizzes
The two roots of x² - 5x + k = 0 differ by exactly 1. What is k?

MathematicsHardHigh School (9–10)GeneralAlgebra › Quadratic Equations Olympiad

Created by StemPy Lab

The two roots of $x^2 - 5x + k = 0$ differ by exactly $1$ . What is $k$ ?

← All Quizzes

← Completing the square gives 2x² - 12x + 7 = 2(x - 3)² + q. What is q?The equation x² + bx + c = 0 has no real roots. Which pair could b and c be? →

More onAlgebra › Quadratic Equations

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

For how many integers k are both roots of the quadratic equation x² - kx + k + 2 = 0 integers? (A…Advanced
Consider the quadratic equation x² - 2(a - 1)x + (2a + 1) = 0, where a is a real number that may…Advanced
Let α and β be the roots of 2x² - 3x - 1 = 0. Which quadratic equation, with integer coefficients…Hard
For how many integers a is x² + 2ax + 10 - 3a > 0 for every real number x? The expression must be…Hard
Consider the equation x|x| - 5x - 6 = 0, where x is real and |x| is the absolute value of x. What…Hard

All questions on this topic →

Problems on this topic

Consider the quadratic equation x² - 2kx + k² + k - 5 = 0 in x, where k is a real number…Advanced
Let α and β be the roots of x² - 3x + 1 = 0…Hard
Show that there is no real number k for which x² + 2(k + 3)x + 9k = 0 has two equal roots.Hard
A rectangular hall must have a perimeter of 52 m…Medium

All problems on this topic →