Q 6 If the equation x4-4x3+ax2+bx+1=0 has four positive roots then the value of (a + b) is: (a) - Maths - Sequences and Series

Question

Q 6 If the equation x 4 - 4 x 3 + a x 2 + b x + 1 = 0 has four
positive roots then the value of (a + b) is:
(a) -4
(b) 2
(c) 6
(d) can not be determined

Abhishek Kr. Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a0886fb2004d%20jpg"
style="width: 412px; height: 491px;">
so, a+b=6+-4=6-4=2
Therefore value of a+b is 2
Hence option (b) is correct

Regards

Q.6. If the equation x 4 - 4 x 3 + a x 2 + b x + 1 = 0 has four positive roots then the value of (a + b) is: (a) -4 (b) 2 (c) 6 (d) can not be determined

Q.6. If the equation $x^{4} - 4 x^{3} + a x^{2} + b x + 1 = 0$ has four positive roots then the value of (a + b) is:
(a) -4
(b) 2
(c) 6
(d) can not be determined