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
2.0k views
in Quadratic Equations by (46.2k points)
closed by

The non-zero root of the equation 32x + 9 = 10.3x is :

(a) a positive fraction 

(b) a negative fraction 

(c) a positive integer 

(d) a negative integer

1 Answer

+1 vote
by (49.2k points)
selected by
 
Best answer

(c) a positive integer

32x + 9 = 10.3x

⇒ 32x - 10 x 3x + 9 = 0

⇒ y2 - 10y + 9 = 0        Let 3x = y

⇒ y2 - 9y - y + 9 = 0 ⇒ y(y - 9 ) - 1(y - 9 ) = 0

⇒ (y - 9)(y - 1) = 0 ⇒ y = 9, 1

⇒ 3x = 9 or 3x = 1

⇒ 3x = 32 or 3x = 30 ⇒ x = 2, 0

∴ The non zero root is a positive integer.

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.

...