If a−b=(√(ab)) find the value of ((a−b)/(a+b))


Question and Answers Forum

All Questions Topic List
Coordinate Geometry Questions
Previous in All Question Next in All Question
Previous in Coordinate Geometry Next in Coordinate Geometry
Question Number 216750 by sniper237 last updated on 17/Feb/25

$I f a - b = \sqrt{a b} f i n d t h e v a l u e o f \frac{a - b}{a + b}$
	Answered by mr W last updated on 17/Feb/25

	${(a + b)}^{2} = {(a - b)}^{2} + 4 a b = a b + 4 a b = 5 a b$ $\Rightarrow a + b = \pm \sqrt{5 a b}$ $\Rightarrow \frac{a - b}{a + b} = \pm \frac{\sqrt{a b}}{\sqrt{5 a b}} = \pm \frac{1}{\sqrt{5}} ✓$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum