Home » Aptitude » Algebra » Question

x +	1	= 2	1	=	25
	x		12		12

On squaring both sides,

⇒		x +	1		²	=			25		²
			x						12

⇒ x² +	1	+ 2 =	625
	x²		144

⇒ x² +	1	=	625	- 2
	x²		144

⇒ x² +	1	=	625 - 228	=	337
	x²		144		144

⇒		x -	1		²	+ 2 =		337
			x					144

⇒		x -	1		²	=		337	- 2
			x					144

=	337 - 288	=	49
	144		144

⇒ x -	1	= √	49	=	7
	x		144		12

Required answer =	337	×	25	×	7	=	58975
	144		12		12		20736

If x > 1 and x +	1	= 2	1	, then the value of x⁴ +	25	is
	x		12		x⁴

	59825
	20736

	57985
	20736

	57895
	20736