If a, b, c are non-zero real numbers such that (1+cos³x) (ax²+bx+c) dx = ₁ (1+cos³ x)(ax² + bx + c) dx = 0, then the equation ax² + bx+c=0 will have (a) one root between 0 and 1 and another between 1 and 2 (b) both the roots between 0 and 1 (c) both the roots between 1 and 2 (d) None of the above
If a, b, c are non-zero real numbers such that (1+cos³x) (ax²+bx+c) dx = ₁ (1+cos³ x)(ax² + bx + c) dx = 0, then the equation ax² + bx+c=0 will have (a) one root between 0 and 1 and another between 1 and 2 (b) both the roots between 0 and 1 (c) both the roots between 1 and 2 (d) None of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![If a, b, c are non-zero real numbers such that (1+cos³ x)(ax² + bx + c)dx
= √₁ (1+cos³x) (ax² + bx + c) dx = 0, then the equation ax²+bx+c =0 will have
(a) one root between 0 and 1 and another between 1 and 2
(b) both the roots between 0 and 1
(c) both the roots between 1 and 2
(d) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cd3c325-90ee-4ce7-9cd6-7c7db0fb253d%2Ff2c2285d-60f0-4f8d-9847-25264194639d%2Fv7izbz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If a, b, c are non-zero real numbers such that (1+cos³ x)(ax² + bx + c)dx
= √₁ (1+cos³x) (ax² + bx + c) dx = 0, then the equation ax²+bx+c =0 will have
(a) one root between 0 and 1 and another between 1 and 2
(b) both the roots between 0 and 1
(c) both the roots between 1 and 2
(d) None of the above
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