Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+2 votes
34.6k views
in Mathematics by (150k points)

If the roots of the equation x2 – bx + c = 0 be two consecutive integers, then b2 – 4c equals

(a) 3 

(b) –2 

(c) 1 

(d) 2.

1 Answer

+3 votes
by (87.2k points)
selected by
 
Best answer

(c) : Let α, α + 1 are consecutive integer
∴ (x + α)(x + α + 1) = x2 – bx + c
comparing both sides we get => –b = 2α + 1
c = α2 + α

∴ b2 – 4c = (2α + 1)2 – 4(α2 + α) = 1.​

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...