Question

if x+1/x=-3 then the value of x^8+3x^​7+x^​6+5 is​

Answer 1

we have to find the value of x^8 + 3x^7 + x^6 + 5 if x + 1/x = -3

solution : x + 1/x = -3

⇒x² + 1 = -3x

⇒x² + 3x + 1 = 0 ....(1)

now, x^8 + 3x^7 + x^6 + 5

= x⁶(x² + 3x + 1) + 5

from equation (1) we get,

= x⁶ × 0 + 5

= 0 + 5

= 5

Therefore the value of x^8 + 3x^7 + x^6 + 5 is 5 if x + 1/x = -3.

also read similar questions : Evaluate an algebraic expression of 8x - y for the given values of x = 3

and y = 4.

a. 29

b. 25

c. 24

d. 20...

https://brainly.in/question/34509978