Question

I will surely mark as the brainliest to the person who answers first. If (a+1/a) is equal to the remainder when 2x^2+3x+13 is divided by x-4, and if the volume of the cuboid of dimensions 2m as its length and 6m as its breath, is a^3+1/a^3. then find the height of the cuboid in metres. NOTE: a^3+1/a^3 as a volume is in m^3 If you answer this you will get 10 points

Answer 1

Step-by-step explanation:

for the first part- take x as 4 and substitute in 2x^2+3x+13.

therefore remainder= 81= (a+1/a)^2

a+1/a=9

volume of cuboid formula= lbh

here, volume is given as a^3+1/a^3.

a+1/a=9(proved above)

use the identity (a+b)^3 to find the value of a^3+1/a^3

after finding the value of a^3+1/a^3, go ahead and substitute in=t in the volume of cuboid formula.

hope you found my answer useful

have a nice day:P