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
0 votes
175 views
in Quadratic Equations by (34.1k points)
closed by

Form the quadratic equation from the roots given below. 

i. 0 and 4 

ii. 3 and -10

iii. \(\frac{1}{2}, \frac{1}{2}\)

iv. 2 – √5, 2 + √5

1 Answer

+1 vote
by (33.5k points)
selected by
 
Best answer

i. Let a = 0 and β = 4 

∴ α + β = 0 + 4 = 4 

and α × β = 0 × 4 = 0

∴ The required quadratic equation is

x2 – (α + β) x + αβ = 0

∴ x2 – 4x + 0 = 0

∴ x2 – 4x = 0

ii. Let α = 3 and β = -10 

∴ α + β = 3 – 10 = -7 

and α × β = 3 × -10 = -30

∴ The required quadratic equation is

x2 – (α + β)x + αβ = 0 

∴ x2 – (-7) x + (-30) = 0

\(\therefore\) The required quadratic equation is

∴ The required quadratic equation is

x2 – (α + β) x + αβ = 0 

∴ x2 – 4x – 1 = 0

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.

...