If a2 + b2 = 5ab, then the value of a2 + b2

Home » Aptitude » Algebra » Question

a² + b² = 5ab

⇒	a² + b²	= 5
	ab

⇒	a	+	b	= 5
	b		a

On squaring both sides,

∴		a	+	b		²	= 25
		b		a

⇒	a²	+	b²	+ 2 = 25
	b²		a²

⇒	a²	+	b²	= 25 − 2 = 23
	b²		a²