If $n 2 − 3 n 4 + 5 n 6 = 21,$ then find the value of n and select the option which represents the correct value.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The given linear equation is as follows,

n 2 − 3 n 4 + 5 n 6 = 21

.
We first multiply each side of the given equation by LCM of 2,4, and 6, i.e., 12 and simplify it.

12 × n 2 − 12 × 3 n 4 + 12 × 5 n 6 = (12 × 21) 6 n − 9 n + 10 n = 252 7 n = 252

Dividing by 7 on both sides, we get,

7 n 7 = 2527 n = 36

So, the value of the variable n is 36.
Hence the correct option is (3).

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test