Question

if X equal to 4 + root 15 by 2 find 16 x square + 1 x square

Answer 1

given :
X= 4+√15/2

16xsquare +1x square = ??

put value of x in 2nd eqn

=16(4+√15/2)square +4square+√15square/2square

= 4(16+15)+(16+15)/4
=4(31)+ 31/4
=124+7.75
= 124+7.75
131.75

= 131.75
this is ur answer

Answer 2

Given:

X=4+√15/2

To find:

16X²+1X²

Solution:

We can find the solution by following the process given below-

We know that the value can be found by squaring the value of X.

So, 16X²+1X²

=16(4+√15/2)²+(4+√15/2)²

=16(4²+(√15/2)²+2×4×√15/2) + 4²+(√15/2)²+ 2×4×√15/2

=16(16+15/4+4√15) +16+15/4+4√15

=256+60+64√15+16+15/4+4√15

=256+60+16+3.75+68√15

= 335.75+68√15

Therefore, the value of 16X²+1X² is 335.75+68√15.